Multiplying and Dividing Fractions: math practice, Grade 5 – download the PDF

1 Fractions as division ★★★

Write each division as a fraction. Then write the improper fractions as mixed numbers.

1. \(3 \div 8\)
2. \(7 \div 4\)
3. \(9 \div 5\)

2 Whole number times fraction ★★★

Compute and simplify.

1. \(4 \times \dfrac{1}{5}\)
2. \(3 \times \dfrac{2}{7}\)
3. \(5 \times \dfrac{3}{8}\)

3 Product of two fractions ★★★

Multiply.

1. \(\dfrac{1}{2} \times \dfrac{1}{3}\)
2. \(\dfrac{2}{3} \times \dfrac{1}{5}\)
3. \(\dfrac{3}{4} \times \dfrac{1}{2}\)

4 Sharing juice ★★★

Three friends share 2 liters of juice equally. What fraction of a liter does each friend get?

5 Read an area model ★★★

The rectangle is cut into 5 equal columns and 2 equal rows. Three columns are shaded, and the bottom row is shaded too. The overlap is the part shaded twice.

Write the multiplication shown by the overlap, and give the product.

6 Unit fraction divided by a whole number ★★★

Divide.

1. \(\dfrac{1}{4} \div 3\)
2. \(\dfrac{1}{2} \div 5\)
3. \(\dfrac{1}{6} \div 2\)

7 Whole number divided by a unit fraction ★★★

Divide.

1. \(6 \div \dfrac{1}{2}\)
2. \(3 \div \dfrac{1}{4}\)
3. \(5 \div \dfrac{1}{3}\)

8 Greater, less, or equal? ★★★

Without computing, tell whether each product is greater than, less than, or equal to 8. Explain.

1. \(8 \times \dfrac{3}{5}\)
2. \(8 \times \dfrac{7}{7}\)
3. \(8 \times \dfrac{9}{4}\)
4. \(\dfrac{11}{12} \times 8\)

9 Mixed number times fraction ★★★

Compute. Write each answer as a fraction or mixed number in simplest form.

1. \(1\tfrac{1}{2} \times \dfrac{2}{3}\)
2. \(2\tfrac{1}{4} \times \dfrac{4}{5}\)

10 Baking batches ★★★

One batch of muffins needs \(\dfrac{3}{4}\) cup of flour. How much flour do 5 batches need?

11 Part of a garden ★★★

\(\dfrac{3}{5}\) of a garden is planted with vegetables. Tomatoes grow on \(\dfrac{2}{3}\) of the vegetable part.

1. What fraction of the whole garden has tomatoes?
2. The garden is 40 square yards. How many square yards have tomatoes?

12 Area of a small rectangle ★★★

A tile is \(\dfrac{3}{4}\) foot long and \(\dfrac{2}{5}\) foot wide. What is its area?

13 Cutting ribbon ★★★

A ribbon is \(\dfrac{1}{3}\) yard long. It is cut into 4 equal pieces. How long is each piece?

14 Scoops of flour ★★★

A baker has 6 cups of flour and uses a \(\dfrac{1}{4}\)-cup scoop. How many scoops can she fill?

15 Two mixed numbers ★★★

Compute \(2\tfrac{1}{2} \times 1\tfrac{1}{3}\). Estimate first with scaling.

16 Area of a patio ★★★

A patio measures \(2\tfrac{1}{4}\) feet by \(1\tfrac{2}{3}\) feet in a scale model. Find its area in square feet.

17 Trail mix ★★★

\(\dfrac{1}{2}\) pound of trail mix is shared equally among 6 hikers. Each hiker eats \(\dfrac{3}{4}\) of their share. How much trail mix does each hiker eat?

18 Find the error ★★★

Maya says that \(4 \div \dfrac{1}{5} = \dfrac{4}{5}\). Is she right? Explain her mistake and give the correct answer.

19 Rope pieces ★★★

Marcus has 12 yards of rope. He cuts it into pieces that are each \(\dfrac{1}{3}\) yard long. He uses \(\dfrac{2}{9}\) of the pieces for a project.

1. How many pieces does he cut?
2. How many pieces does he use?

20 A two-part hike ★★★

A trail is \(3\tfrac{3}{4}\) miles long. Sam hikes \(\dfrac{2}{5}\) of it in the morning, then \(\dfrac{1}{3}\) of the remaining distance after lunch. How far does he hike after lunch?

21 Missing numbers ★★★

Find the missing number in each equation.

1. \(\square \times \dfrac{3}{4} = \dfrac{3}{8}\)
2. \(\dfrac{5}{6} \times \square = \dfrac{5}{18}\)
3. \(\dfrac{1}{5} \div \square = \dfrac{1}{20}\)

22 Does it grow or shrink? ★★★

Without finishing the work, decide which of \(\dfrac{3}{5} \times \dfrac{7}{6}\) and \(\dfrac{3}{5} \times \dfrac{5}{6}\) is greater than \(\dfrac{3}{5}\). Then compute both products.