Elementary School Math Quiz: Solve Fraction Multiplication Problems

A pizza is cut into 8 equal slices. Tom ate $\frac{3}{4}$ of the pizza, and Jerry ate $\frac{1}{2}$ of what Tom ate. How many slices did Jerry eat?

A full bottle holds 1 whole gallon (the same-sized whole). A gardener mixes $\tfrac{2}{3}$ gallon of water with fertilizer. The fertilizer amount is $\tfrac{3}{10}$ of the water amount. Since fraction multiplication represents taking part of a quantity, what is the correct answer to the problem: How many gallons of fertilizer does the gardener use?

At an art station, one whole sheet of paper is the same size for everyone. Maya uses $\tfrac{3}{4}$ of a sheet for her drawing. She colors $\tfrac{2}{3}$ of the part she used. Since fraction multiplication represents taking part of a quantity, what is the correct answer to the problem: How much of the whole sheet did Maya color?

A pitcher holds $2$ liters of lemonade when full. Aiden pours out $\tfrac{3}{5}$ of the full pitcher. The fractions refer to the same-sized liter. Since fraction multiplication means taking a part of a quantity, what is the correct amount of lemonade Aiden pours out (the product $\tfrac{3}{5}\times 2$)?

A class has the same-sized whole set of 30 library books to label. The students finish $\tfrac{4}{5}$ of the books on Monday. On Tuesday, they label $\tfrac{2}{3}$ of the books that were finished on Monday (adding special stickers). Fraction multiplication represents taking part of a quantity. What is the correct answer to the problem: How many books get special stickers on Tuesday?

Two students solve this problem: "A bucket holds $4$ gallons when full. It is filled to $\tfrac{3}{4}$ full. How many gallons of water are in the bucket?" The fractions refer to the same-sized gallon. Since fraction multiplication means taking a part of a quantity, which explanation matches the situation for the product $\tfrac{3}{4}\times 4$?

A ribbon is $\tfrac{4}{5}$ meter long. Zoe uses $\tfrac{3}{4}$ of the ribbon for a project. The fractions refer to the same-sized meter. Since fraction multiplication means taking a part of a quantity, what does the product $\tfrac{3}{4}\times\tfrac{4}{5}$ represent?

A pitcher holds the same-sized whole amount of 10 cups of lemonade. A student pours $\tfrac{3}{5}$ of the pitcher into cups. Then another student drinks $\tfrac{1}{2}$ of what was poured. Fraction multiplication represents taking part of a quantity. What is the correct answer to the problem: How many cups of lemonade does the second student drink?

One whole package has 40 stickers (the same-sized whole). $\tfrac{3}{4}$ of the stickers are star stickers. A student gives away $\tfrac{1}{2}$ of the star stickers. Since fraction multiplication represents taking part of a quantity, what is the correct answer to the problem: How many stickers does the student give away?

A class has 1 whole set of 30 library books (the same-sized whole set). $\tfrac{2}{3}$ of the books are nonfiction. Of the nonfiction books, $\tfrac{3}{5}$ are about animals. Since fraction multiplication represents taking part of a quantity, what is the correct answer to the problem: How many books are nonfiction animal books?

A 12-foot jump rope is the same-sized whole rope. The coach marks off $\tfrac{3}{4}$ of the rope for a game. Then she uses $\tfrac{2}{3}$ of that marked section. Fraction multiplication represents taking part of a quantity. What is the correct answer to the problem: How many feet of rope does she use?

A ribbon spool has 1 whole meter of ribbon left (the same-sized whole). Elena uses $\tfrac{4}{5}$ meter for decorations. She then cuts $\tfrac{1}{4}$ of the piece she used to tie a bow. Since fraction multiplication represents taking part of a quantity, what is the correct answer to the problem: How many meters long is the bow piece?

A ribbon roll is the same-sized whole roll. A teacher uses $\tfrac{3}{5}$ of the roll for decorations. Then she uses $\tfrac{2}{3}$ of the ribbon she already used to make bows. Fraction multiplication represents taking part of a quantity. What is the correct answer to the problem: What fraction of the whole roll was used to make bows?

A garden bed is the same-sized whole bed. The class plants flowers in $\tfrac{7}{10}$ of the bed. Then they plant tulips in $\tfrac{2}{7}$ of the flower section. Fraction multiplication represents taking part of a quantity.

Which claim about the product is incorrect?

One whole pizza is the same-sized whole. Sam eats $\tfrac{1}{2}$ of the pizza. Later, he eats $\tfrac{3}{4}$ of what he already ate. Since fraction multiplication represents taking part of a quantity, what is the correct answer to the problem: What fraction of the whole pizza is $\tfrac{3}{4}$ of $\tfrac{1}{2}$?

Use the diagram to find the area of the shaded rectangular region.

One whole batch of trail mix is the same-sized whole. A recipe uses $\tfrac{3}{4}$ batch of cereal. Then it adds raisins equal to $\tfrac{2}{5}$ of the cereal amount. Since fraction multiplication represents taking part of a quantity, what is the correct answer to the problem: What fraction of a whole batch is the raisins amount?

A water tank can hold $15\frac{1}{4}$ gallons when full. Currently, it contains $\frac{4}{5}$ of its capacity.

How many gallons of water are currently in the tank?

One whole pan of brownies is the same-sized whole. The class eats $\tfrac{2}{3}$ of the pan. Of the brownies that were eaten, $\tfrac{3}{4}$ were eaten at lunch. Since fraction multiplication represents taking part of a quantity, what is the correct answer to the problem: What fraction of the whole pan was eaten at lunch?

A soccer field is $\tfrac{9}{10}$ kilometer around the outside (one lap). Jordan runs $\tfrac{2}{3}$ of a lap. The fractions refer to the same-sized kilometer. Since fraction multiplication means taking a part of a quantity, what is the correct distance Jordan runs (the product $\tfrac{2}{3}\times\tfrac{9}{10}$)?