5th Grade Multiplying Fractions and Mixed Numbers Worksheet (PDF)

These 20 problems practice multiplying fractions, whole numbers, and mixed numbers, as listed in standards 5.NF.B.4a and 5.NF.B.6. Early problems use tape diagrams and area models. Later problems use improper fractions and mixed numbers.
The last six problems are word problems about recipes, water jugs, gardens, pizza, peaches, and trail mix. Simplify each answer and write improper fractions as mixed numbers.
Grade 5 · Common Core State Standards: 5.NF.B.4a, 5.NF.B.6
Exercise 1 – Whole number times unit fraction
Find \(4 \times \frac{1}{5}\).
Exercise 2 – Whole number times a fraction
Find \(3 \times \frac{2}{7}\).
Exercise 3 – Improper product
Find \(5 \times \frac{3}{4}\).
Exercise 4 – Fraction of a whole number
Find \(\frac{2}{3}\) of 15. The tape diagram shows 15 cut into 3 equal parts.
Exercise 5 – Three fourths of 20
Calculate \(\frac{3}{4} \times 20\).
Exercise 6 – Half of a third
Use the area model to find \(\frac{1}{2} \times \frac{1}{3}\).
Exercise 7 – Simplify the product
Find \(\frac{2}{3} \times \frac{3}{5}\).
Exercise 8 – Product that simplifies to a unit fraction
Find \(\frac{3}{4} \times \frac{4}{9}\).
Exercise 9 – Larger numerators
Find \(\frac{5}{6} \times \frac{3}{10}\).
Exercise 10 – Product from a model
The model shows the product of two fractions. Write the multiplication sentence and find the product.
Exercise 11 – Mixed number times whole
Find \(2\frac{1}{2} \times 4\).
Exercise 12 – Mixed number times fraction
Find \(1\frac{1}{3} \times \frac{3}{4}\).
Exercise 13 – Two mixed numbers
Find \(2\frac{1}{4} \times 1\frac{1}{3}\).
Exercise 14 – Larger mixed numbers
Find \(3\frac{1}{2} \times 2\frac{2}{5}\).
Exercise 15 – Half a recipe
Maya’s cookie recipe needs \(\frac{3}{4}\) cup of sugar. She makes \(\frac{1}{2}\) of the recipe. How much sugar does she use? The area model uses \(\frac{1}{2}\) for the height and \(\frac{3}{4}\) for the width.
Exercise 16 – Water jugs
The Little League team has 6 water jugs. Each jug holds \(\frac{3}{4}\) gallon. How many gallons of water is that in all?
Exercise 17 – Garden bed area
Sofia’s garden bed is \(2\frac{1}{2}\) feet long and \(1\frac{3}{5}\) feet wide. Find the area of the garden bed.
Exercise 18 – Pizza left over
Ethan has \(\frac{5}{6}\) of a pizza left. He eats \(\frac{2}{5}\) of what is left. What fraction of the whole pizza does he eat? What fraction of the whole pizza is still left?
Exercise 19 – Peaches at the market
At the farmers market, Priya buys \(3\frac{1}{2}\) pounds of peaches. Peaches cost $2.50 per pound. How much does Priya pay?
Exercise 20 – Raisins for the team
Diego’s trail mix recipe uses \(1\frac{2}{3}\) cups of raisins for one batch. He makes \(2\frac{1}{2}\) batches. Raisins cost $1.50 per cup. How many cups of raisins does he need, and what do the raisins cost?
All Grade 5 chapters: Grade 5 math.
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