Fraction word problems

{"questions":[{"content":"One side of the rectangle is equal to $\\frac{3}{4}\\space m,$ and the other is $\\frac{1}{8}\\space m$ less. Find the perimeter of the rectangle.[[image-1]][[fill_choice_big-511]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/05/doska-1.svg","width":"300"},"fill_choice_big-511":{"type":"fill_choice_big","options":["$\\frac{11}{4}\\space m$","$\\frac{5}{4}\\space m$","$\\frac{4}{8}\\space m$"],"placeholder":0,"answer":0}}},{"content":"Find the height of the rowan tree if the height of the spruce is $5\\frac{4}{5}\\space m,$ and the rowan tree is $2\\frac{2}{5}\\space m$ lower than the spruce.[[image-9]][[fill_choice_big-593]]","widgets":{"image-9":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/06/autumn-1-1.svg","width":"300"},"fill_choice_big-593":{"type":"fill_choice_big","options":["$3\\frac{2}{5}\\space m$","$2\\frac{1}{5}\\space m$","$\\frac{4}{5}\\space m$"],"placeholder":0,"answer":0}}},{"content":"A truck delivered $4\\frac{4}{10}\\space t$ of grain on its first trip, which was $\\frac{3}{10}\\space t$ more than on its second trip. How many tonnes did it deliver over the two trips?[[image-16]][[fill_choice_big-634]]","widgets":{"image-16":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/10/gruzovik-samosval-mashina-1.svg","width":"299"},"fill_choice_big-634":{"type":"fill_choice_big","options":["$8\\frac{5}{10}\\space t$","$4\\frac{1}{10}\\space t$","$6\\frac{3}{10}\\space t$"],"placeholder":0,"answer":0}}}]}

{"questions":[{"content":"In preparation for the test, Obrazavr planned to solve $42$ exercises. On the first day he solved $\\frac{5}{21}$ of all exercises, and on the second day he solved $\\frac{11}{21}$ of all exercises. How many exercises did he solve in two days?[[image-1]][[fill_choice_big-511]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/obrazavr_v-stresse.svg","width":"300"},"fill_choice_big-511":{"type":"fill_choice_big","options":["$32$","$16$","$20$"],"placeholder":0,"answer":0}}},{"content":"The distance from a city to a village is $28\\space km. $ You must walk $\\frac{3}{14}$ of the distance and can take a bus for the rest. How many kilometres can you travel by bus?[[image-4]][[fill_choice_big-542]]","widgets":{"image-4":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/03/les-derevya-park-idet.svg","width":"299"},"fill_choice_big-542":{"type":"fill_choice_big","options":["$22\\space km$","$3 \\space km$","$17\\space km$"],"placeholder":0,"answer":0}}},{"content":"How much milk should be taken to make $3\\space kg$ butter, if butter makes up $\\frac{1}{20}$ the mass of milk used?[[image-9]][[fill_choice_big-593]]","widgets":{"image-9":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/07/butter-1.svg","width":"300"},"fill_choice_big-593":{"type":"fill_choice_big","options":["$60 \\space kg$","$30\\space kg$","$20\\space kg$"],"placeholder":0,"answer":0}}},{"content":"A flowerbed with an area of $7 \\space m^2$ was divided into $12$ equal areas for planting flowers. Find the area of each plot.[[image-16]][[fill_choice_big-634]]","widgets":{"image-16":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/07/lug-sachok-babochka.svg","width":"299"},"fill_choice_big-634":{"type":"fill_choice_big","options":["$\\frac{7}{12}\\space m^2$","$\\frac{5}{12}\\space m^2$","$\\frac{5}{7}\\space m^2$"],"placeholder":0,"answer":0}}},{"content":"The tape was cut into $18$ equal pieces. How many meters of tape are in one piece if its length is $7\\space m?$[[image-100]][[fill_choice_big-675]]","widgets":{"image-100":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/12/platok-nosovoj.svg","width":"299"},"fill_choice_big-675":{"type":"fill_choice_big","options":["$\\frac{7}{18}\\space m$","$\\frac{18}{7}\\space m$","$18\\space m$"],"placeholder":0,"answer":0}}},{"content":"$3 \\space kg$ of sweets was divided equally among $8$ gift boxes. How many kilograms of sweets were put in each box?[[image-81]][[fill_choice_big-716]]","widgets":{"image-81":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/12/personazh_5.svg","width":"298"},"fill_choice_big-716":{"type":"fill_choice_big","options":["$\\frac{3}{8}\\space kg$","$\\frac{5}{8}\\space kg$","$2 \\space kg$"],"placeholder":0,"answer":0}}},{"content":"How many kilograms of potatoes did the canteen consume on average per day, if $800 \\space kg$ of potatoes were consumed in September?[[image-64]][[fill_choice_big-757]]","widgets":{"image-64":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/10/eda-vkusno-stol-tarelka-est-skovoroda-myaso-kartoshka.svg","width":"300"},"fill_choice_big-757":{"type":"fill_choice_big","options":["$26\\frac{2}{3}\\space kg$","$30\\space kg$","$14\\frac{20}{31}\\space kg$"],"placeholder":0,"answer":0}}},{"content":"A bumblebee flew $200 \\space m$ in $6 \\space min.$ What was its speed?[[image-49]][[fill_choice_big-798]]","widgets":{"image-49":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/09/lug-pchela-tsvetok-tsvety-pchely-strekoza-strekozy-babochki.svg","width":"299"},"fill_choice_big-798":{"type":"fill_choice_big","options":["$33\\frac{1}{3}\\space m/min$","$20\\frac{1}{3}\\space m/min$","$15\\frac{2}{3}\\space m/min$"],"placeholder":0,"answer":0}}},{"content":"Find how many jars it would take to fill $1\\frac{1}{3}\\space kg$ honey if one jar holds $\\frac{1}{3}\\space kg$ honey.[[image-36]][[fill_choice_big-839]]","widgets":{"image-36":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/03/med-romashka.svg","width":"300"},"fill_choice_big-839":{"type":"fill_choice_big","options":["$4$","$3$","$2$"],"placeholder":0,"answer":0}}},{"content":"To make bird feeders, a board of length $1\\frac{3}{4}\\space m$ was cut into pieces, $\\frac{1}{4}\\space m$ in each. How many of these parts did you get?[[image-25]][[fill_choice_big-880]]","widgets":{"image-25":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/08/kormit-ptitsu-1.svg","width":"300"},"fill_choice_big-880":{"type":"fill_choice_big","options":["$7$","$4$","$5$"],"placeholder":0,"answer":0}}}]}

{"questions":[{"content":"Find the mass of the washing machine along with the packaging, if the mass of the machine is $\\frac{3}{50}\\space t,$ and the mass of its packaging is $\\frac{1}{50}\\space t.$[[image-1]][[fill_choice_big-511]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/12/pookruzhnosti15.svg","width":"300"},"fill_choice_big-511":{"type":"fill_choice_big","options":["$\\frac{4}{50}\\space t$","$\\frac{5}{50}\\space t$","$1 \\space t$"],"placeholder":0,"answer":0}}},{"content":"On the first day they dug up $\\frac{3}{15}$ of the entire vegetable garden, and on the second day - $\\frac{8}{15}$ of the vegetable garden. What part of the garden was dug up in $2$ days?[[image-4]][[fill_choice_big-542]]","widgets":{"image-4":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/06/kopaet-kartoshku.svg","width":"299"},"fill_choice_big-542":{"type":"fill_choice_big","options":["$\\frac{11}{15}$","$\\frac{5}{15}$","$\\frac{7}{15}$"],"placeholder":0,"answer":0}}},{"content":"Two tractor drivers plowed $\\frac{9}{16}$ of a field altogether. The first plowed $\\frac{3}{16}$ of the field. What fraction did the second driver plow?[[image-9]][[fill_choice_big-593]]","widgets":{"image-9":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/09/traktor-udobreniya-01-2.svg","width":"300"},"fill_choice_big-593":{"type":"fill_choice_big","options":["$\\frac{6}{16}$","$\\frac{3}{16}$","$\\frac{7}{16}$"],"placeholder":0,"answer":0}}},{"content":"A barrel was filled to $\\frac{8}{10}$ of its capacity. Water equal to $\\frac{3}{10}$ of the barrel's capacity was used on the garden. What fraction of the barrel is still full?[[image-16]][[fill_choice_big-634]]","widgets":{"image-16":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/06/fireman-1.svg","width":"299"},"fill_choice_big-634":{"type":"fill_choice_big","options":["$\\frac{5}{10}$","$\\frac{2}{10}$","$\\frac{11}{10}$"],"placeholder":0,"answer":0}}},{"content":"A nursery grows fruit trees. Apple trees occupy $\\frac{4}{18}$ of its area, and cherry trees occupy $\\frac{6}{18}$. How many hectares do these trees occupy together if the nursery's total area is $36\\space ha?$[[image-100]][[fill_choice_big-675]]","widgets":{"image-100":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/08/yabloko-dumaet-mechtaet-1.svg","width":"299"},"fill_choice_big-675":{"type":"fill_choice_big","options":["$20\\space ha$","$10\\space ha$","$18 \\space ha$"],"placeholder":0,"answer":0}}},{"content":"The farm needs to ship $54\\space t$ potatoes. On the first day, $\\frac{9}{27}$ of this quantity was shipped, on the second day, $\\frac{7}{27}$, and the rest was shipped on the third day. How many tons of potatoes were shipped on the third day?[[image-81]][[fill_choice_big-716]]","widgets":{"image-81":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/05/obrazavr_deyatelnost_dop-02-2.svg","width":"298"},"fill_choice_big-716":{"type":"fill_choice_big","options":["$22\\space t$","$7\\space t$","$16\\space t$"],"placeholder":0,"answer":0}}},{"content":"The vegetable department of the store sold $90 \\space kg$ fruits. Oranges made up $\\frac{5}{10}$ of all fruits sold, and tangerines made up $\\frac{1}{10}$ of all fruits sold. How many more oranges were sold than tangerines? [[image-64]][[fill_choice_big-757]]","widgets":{"image-64":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/08/frukty-apelsin-grusha-yabloko-3.svg","width":"300"},"fill_choice_big-757":{"type":"fill_choice_big","options":["$36\\space kg$","$4\\space kg$","$60 \\space kg$"],"placeholder":0,"answer":0}}},{"content":"On the first day, Obrazavr read $\\frac{6}{10}$ of the entire book, and on the second day - $\\frac{3}{10}$ of the entire book. What part of the book did Obrazavr read in two days?[[image-49]][[fill_choice_big-798]]","widgets":{"image-49":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/11/divan-torsher-kniga-chitaet-kgigu.svg","width":"299"},"fill_choice_big-798":{"type":"fill_choice_big","options":["$\\frac{9}{10}$","$\\frac{8}{10}$","$\\frac{5}{6}$"],"placeholder":0,"answer":0}}},{"content":"On the first day, $\\frac{11}{14}$ of all fruits were collected, and on the second - $\\frac{2}{14}$ of all fruits. What portion of the fruit was collected during these two days?[[image-36]][[fill_choice_big-839]]","widgets":{"image-36":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/frukty.svg","width":"300"},"fill_choice_big-839":{"type":"fill_choice_big","options":["$\\frac{13}{14}$","$\\frac{9}{14}$","$\\frac{2}{11}$"],"placeholder":0,"answer":0}}},{"content":"One New Year's mask used $\\frac{8}{20}\\space m$ fabric, and another $\\frac{3}{20}\\space m$ fabric. How much fabric was used for both masks?[[image-25]][[fill_choice_big-880]]","widgets":{"image-25":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/05/obrazavr_istina_kriterii_dop2-05.svg","width":"300"},"fill_choice_big-880":{"type":"fill_choice_big","options":["$\\frac{11}{20}\\space m$","$\\frac{5}{20}\\space m$","$2\\space m$"],"placeholder":0,"answer":0}}}]}

{"questions":[{"content":"Flower beds occupy $\\frac{2}{7}$ of the entire garden plot. Find the area of the plot if the area of land occupied by flower beds is $70\\space m^2.$[[image-1]][[fill_choice_big-511]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/09/lug-pchela-tsvetok-tsvety-pchely-strekoza-strekozy-babochki.svg","width":"300"},"fill_choice_big-511":{"type":"fill_choice_big","options":["$245\\space m^2$","$217\\space m^2$","$174\\space m^2$"],"placeholder":0,"answer":0}},"step":1,"hints":["Let's find the area $\\frac{1}{7}$ of the plot: $70 : 2 = 35\\text{ m}^2$.","Now let’s find the area of the entire plot: $35 \\cdot 7 = 245\\text{ m}^2$."]},{"content":"Four pies can be baked using $2 \\space kg$ flour. How much flour will be needed for $8$ pies?[[image-4]][[fill_choice_big-542]]","widgets":{"image-4":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/03/pirog-yabloko-yablochnyj-pirog.svg","width":"299"},"fill_choice_big-542":{"type":"fill_choice_big","options":["$4\\space kg$","$8\\space kg$","$\\frac{1}{4}\\space kg$"],"placeholder":0,"answer":0}}},{"content":"Builders repaired a summer camp's stadium in $35$ days. They had planned to take $\\frac{6}{5}$ of that time. How many days had they planned to spend?[[image-9]][[fill_choice_big-593]]","widgets":{"image-9":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/04/futbol.svg","width":"300"},"fill_choice_big-593":{"type":"fill_choice_big","options":["$42$","$40$","$30$"],"placeholder":0,"answer":0}}},{"content":"A robot machines $48$ parts, which is $\\frac{8}{5}$ of the number a worker machines in the same time. How many parts does the worker machine?[[image-16]][[fill_choice_big-634]]","widgets":{"image-16":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2024/01/robot-domrabotnicza-01.svg","width":"299"},"fill_choice_big-634":{"type":"fill_choice_big","options":["$30$","$45$","$25$"],"placeholder":0,"answer":0}}},{"content":"In $8 \\space h$, a hiker walks $45\\space km,$, which is $\\frac{5}{6}$ of the planned route. How many kilometres does the hiker plan to walk in total?[[image-100]][[fill_choice_big-675]]","widgets":{"image-100":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/11/obrazavr_plyvet-na-lodke-dzhungli.svg","width":"299"},"fill_choice_big-675":{"type":"fill_choice_big","options":["$54\\space km$","$40\\space km$","$60\\space km$"],"placeholder":0,"answer":0}}},{"content":"Young skaters planned a performance lasting $2 \\space h$, but it lasted $\\frac{3}{2}$ of that time because the audience requested encores. How long did the performance last?[[image-81]][[fill_choice_big-716]]","widgets":{"image-81":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/07/tantsuet-muzyka-kolonki-tanets.svg","width":"298"},"fill_choice_big-716":{"type":"fill_choice_big","options":["$3\\space h$","$5\\space h$","$1\\space h$"],"placeholder":0,"answer":0}}},{"content":"Strawberries can be grown in a greenhouse all year round. The novice farmer planned to collect $150 \\space kg$ strawberries in the greenhouse, but collected $\\frac{6}{5}$ of this quantity. How many kilograms of strawberries did the farmer collect?[[image-64]][[fill_choice_big-757]]","widgets":{"image-64":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/09/zemlyanika.svg","width":"300"},"fill_choice_big-757":{"type":"fill_choice_big","options":["$180\\space kg$","$120\\space kg$","$100 \\space kg$"],"placeholder":0,"answer":0}}},{"content":"A group of students went on a hike. On the first day they covered $12 \\space km,$, which was $\\frac{4}{3}$ of the distance covered on the second day. How far did the group of students travel on the second day?[[image-49]][[fill_choice_big-798]]","widgets":{"image-49":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/07/turist-palatka-kemping-3.svg","width":"299"},"fill_choice_big-798":{"type":"fill_choice_big","options":["$9\\space km$","$16\\space km$","$7 \\space km$"],"placeholder":0,"answer":0}}},{"content":"To bake the muffins, we used $\\frac{3}{13}\\space kg$ raisins and $\\frac{5}{13}\\space kg$ dried apricots. Find the mass of consumed dried fruits.[[image-36]][[fill_choice_big-839]]","widgets":{"image-36":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/04/keks-1.svg","width":"300"},"fill_choice_big-839":{"type":"fill_choice_big","options":["$\\frac{8}{13}\\space kg$","$2\\space kg$","$13\\space kg$"],"placeholder":0,"answer":0}}},{"content":"To build the house, we bought $\\frac{5}{16}\\space\\text{quintals}$ nails, and $\\frac{4}{16}\\space\\text{quintals}$ more screws. How many screws did you buy?[[image-25]][[fill_choice_big-880]]","widgets":{"image-25":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2024/03/gvozdi-01.svg","width":"300"},"fill_choice_big-880":{"type":"fill_choice_big","options":["$\\frac{9}{16}\\space\\text{quintals}$","$\\frac{1}{16}\\space\\text{quintals}$","$2\\space\\text{quintals}$"],"placeholder":0,"answer":0}}}]}

{"questions":[{"content":"$5\\space L$ of soup was eaten from an eight-litre pot. What fraction of the soup was eaten?[[image-1]][[fill_choice_big-511]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/04/povar-obed-gotovit.svg","width":"300"},"fill_choice_big-511":{"type":"fill_choice_big","options":["$\\frac{5}{8}$","$\\frac{8}{5}$","$\\frac{1}{5}$"],"placeholder":0,"answer":0}}},{"content":"Find $\\frac{2}{3}$ of a square's area if its area is $27\\space cm^2.$[[image-4]][[fill_choice_big-542]]","widgets":{"image-4":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/06/obrazavr-v-kruge-kvadrate-01-01.svg","width":"299"},"fill_choice_big-542":{"type":"fill_choice_big","options":["$18\\space cm^2$","$22\\space cm^2$","$12\\space cm^2$"],"placeholder":0,"answer":0}}},{"content":"We collected $104 \\space kg$ cabbage and fermented $\\frac{2}{8}$ of this cabbage. How many kilograms of cabbage were fermented?[[image-9]][[fill_choice_big-593]]","widgets":{"image-9":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/obrazavr_ovoshhi_kapusta.svg","width":"300"},"fill_choice_big-593":{"type":"fill_choice_big","options":["$26\\space kg$","$13\\space kg$","$16\\space kg$"],"placeholder":0,"answer":0}}},{"content":"A symphony orchestra played $\\frac{2}{5}$ of its concert before the intermission. How long was the whole concert if it played for $2 \\space h?$ before the intermission?[[image-16]][[fill_choice_big-634]]","widgets":{"image-16":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2024/02/dzhaz-01.svg","width":"299"},"fill_choice_big-634":{"type":"fill_choice_big","options":["$5\\space h$","$7\\space h$","$3\\space h$"],"placeholder":0,"answer":0}}},{"content":"$\\frac{8}{9}$ of the grain in a barn was shipped out. How many tonnes of grain were originally in the barn if $56 \\space t?$ was shipped?[[image-100]][[fill_choice_big-675]]","widgets":{"image-100":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/07/gruzoperevozki-dostavka-gazel-01-1.svg","width":"299"},"fill_choice_big-675":{"type":"fill_choice_big","options":["$63\\space t$","$72\\space t$","$120\\space t$"],"placeholder":0,"answer":0}}},{"content":"Students spent $10\\space min.$ on independent work. What fraction of the lesson was this if the lesson lasted $40\\space min?$[[image-81]][[fill_choice_big-716]]","widgets":{"image-81":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/11/obrazavr_angl-4-urok_ruchka.svg","width":"298"},"fill_choice_big-716":{"type":"fill_choice_big","options":["$\\frac{1}{4}$","$\\frac{10}{4}$","$\\frac{1}{8}$"],"placeholder":0,"answer":0}}},{"content":"$3 \\space m.$ was cut from a seven-metre ribbon. What fraction of the ribbon was cut off?[[image-64]][[fill_choice_big-757]]","widgets":{"image-64":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/02/dlinnyj-1.svg","width":"300"},"fill_choice_big-757":{"type":"fill_choice_big","options":["$\\frac{3}{7}$","$\\frac{7}{3}$","$\\frac{4}{7}$"],"placeholder":0,"answer":0}}},{"content":"The school excursion to the museum lasted $4\\space h.$ $\\frac{1}{4}$ of this time was spent on the road. How much time was spent on the road?[[image-49]][[fill_choice_big-798]]","widgets":{"image-49":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/12/obrazavr_muzej.svg","width":"299"},"fill_choice_big-798":{"type":"fill_choice_big","options":["$1\\space h$","$2\\space h$","$4\\space h$"],"placeholder":0,"answer":0}}},{"content":"There were $16$ cars in the parking lot. Of these, $9$ cars are taxis. What proportion of all cars were other cars?[[image-36]][[fill_choice_big-839]]","widgets":{"image-36":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/03/taksi.svg","width":"300"},"fill_choice_big-839":{"type":"fill_choice_big","options":["$\\frac{7}{16}$","$\\frac{9}{16}$","$\\frac{16}{9}$"],"placeholder":0,"answer":0}}},{"content":"$\\frac{5}{6}$ of an aquarium's water was drained during cleaning. What is the aquarium's capacity in litres if $15 \\space L?$ was drained?[[image-25]][[fill_choice_big-880]]","widgets":{"image-25":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/02/ryba.svg","width":"300"},"fill_choice_big-880":{"type":"fill_choice_big","options":["$18\\space L$","$30\\space L$","$25\\space L$"],"placeholder":0,"answer":0}}}]}

{"questions":[{"content":"An apron uses $\\frac{1}{4}$ of a piece of fabric that is $2\\space m$ long. How many centimetres of fabric are used for the apron?[[image-1]][[fill_choice_big-511]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/12/obrazavr_shkaf-s-odezhdoj.svg","width":"300"},"fill_choice_big-511":{"type":"fill_choice_big","options":["$50 \\space cm$","$30\\space cm$","$70\\space cm$"],"placeholder":0,"answer":0}}},{"content":"$\\frac{2}{10}$ of a watermelon with a mass of $2\\space kg\\space 800\\space g$ was cut off. Find the mass of the piece.[[image-4]][[fill_choice_big-542]]","widgets":{"image-4":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/obrazavr_frukty_arbuz.svg","width":"299"},"fill_choice_big-542":{"type":"fill_choice_big","options":["$560\\space g$","$280\\space g$","$340\\space g$"],"placeholder":0,"answer":0}}},{"content":"Reshavr spent $1\\space h \\space30 \\space min.$ outdoors. He spent $\\frac{1}{3}$ of<br />this time on the slide. How many minutes did he spend on the slide?[[image-9]][[fill_choice_big-593]]","widgets":{"image-9":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/12/zima-1.svg","width":"300"},"fill_choice_big-593":{"type":"fill_choice_big","options":["$30\\space min$","$20\\space min$","$60\\space min$"],"placeholder":0,"answer":0}}},{"content":"Along the forest road, the path between the villages is $12 \\space km.$ The cyclist traveled $5\\space km.$ How much of the path did he travel?[[image-16]][[fill_choice_big-634]]","widgets":{"image-16":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/03/na-velike-velosiped-01-2-3.svg","width":"299"},"fill_choice_big-634":{"type":"fill_choice_big","options":["$\\frac{5}{12}$","$\\frac{12}{5}$","$\\frac{1}{3}$"],"placeholder":0,"answer":0}}},{"content":"The sown area of the agricultural complex is equal to $120\\space km^2.$ Of which, $55 \\space km$ is sown with oats, $22 \\space km$ with barley, and the rest of the area is left fallow. What part of the field is left fallow?[[image-100]][[fill_choice_big-675]]","widgets":{"image-100":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/03/fermer-traktor-derevnya-1-1.svg","width":"299"},"fill_choice_big-675":{"type":"fill_choice_big","options":["$\\frac{43}{120}$","$\\frac{1}{3}$","$\\frac{43}{55}$"],"placeholder":0,"answer":0}}},{"content":"The length of the cave is $3\\space800 \\space m.$ The hiking trail in it is $\\frac{4}{19}$ of the total length of the cave. Find the length of the hiking trail.[[image-81]][[fill_choice_big-716]]","widgets":{"image-81":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/06/drevnii-obrazavr-zharit-myaso-na-kostre-01.svg","width":"298"},"fill_choice_big-716":{"type":"fill_choice_big","options":["$1 \\space km$","$190\\space m$","$500\\space m$"],"placeholder":0,"answer":0}}},{"content":"$3 \\space kg\\space 600\\space g$ of cottage cheese was bought, and $\\frac{7}{9}$ of it was used in a casserole. How much cottage cheese was used?[[image-64]][[fill_choice_big-757]]","widgets":{"image-64":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/11/pirog-zebra-01.svg","width":"300"},"fill_choice_big-757":{"type":"fill_choice_big","options":["$2\\space800\\space g$","$900 \\space g$","$1\\space700\\space g$"],"placeholder":0,"answer":0}}},{"content":"How much water is in a barrel for watering plants, if $\\frac{1}{5}$ of this water is $20 \\space L?$ [[image-49]][[fill_choice_big-798]]","widgets":{"image-49":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/07/lug-sachok-babochka.svg","width":"299"},"fill_choice_big-798":{"type":"fill_choice_big","options":["$100\\space L$","$150\\space L$","$50\\space L$"],"placeholder":0,"answer":0}}},{"content":"$10$ sheets were used in a test notebook over six months, accounting for $\\frac{2}{3}$ of its sheets. How many blank sheets remain?[[image-36]][[fill_choice_big-839]]","widgets":{"image-36":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/12/ruchka-ezhednevnik.svg","width":"300"},"fill_choice_big-839":{"type":"fill_choice_big","options":["$5$","$10$","$15$"],"placeholder":0,"answer":0}}},{"content":"The area of a two-room apartment is $49\\space m^2.$ The area of the room is $\\frac{4}{7}$ of the entire area. Find the area of the room.[[image-25]][[fill_choice_big-880]]","widgets":{"image-25":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/08/sinya-komnata.svg","width":"300"},"fill_choice_big-880":{"type":"fill_choice_big","options":["$28\\space m^2$","$11\\space m^2$","$40\\space m^2$"],"placeholder":0,"answer":0}}}]}