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

5th Grade math worksheet: Multiplying Fractions and Mixed Numbers – Maths PDFCover of the book Grade 5 Math Worksheets with Answers (PDF)Download as a PDFThe Grade 5 worksheets book with answersPrintable PDFSee the book ›


This multiply fractions worksheet for 5th Grade covers multiplying fractions and mixed numbers (Common Core 5.NF.B.4a, 5.NF.B.6), with a free PDF to print.

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

Multiply fractions worksheet: exercises 1 to 10

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.

15
Fifteen 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 \(\frac{1}{2} \times \frac{1}{3}\).

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Blue columns, orange rows, and green overlap.

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.

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Blue columns, orange rows, and green overlap.

Exercises 11 and up

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 – Estimate and multiply mixed numbers

Round each factor of \(2\frac{3}{4} \times 1\frac{2}{3}\) to the nearest whole number to estimate the product. Then find the exact product.

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.

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Blue columns, orange rows, and green overlap.

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.

2 1/2 ft1 3/5 ft
Sofia’s 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?

See the solutions: Multiplying Fractions and Mixed Numbers worksheet solutions

Key facts behind this multiply fractions worksheet

Key facts
  • A fraction of a number means fraction times that number.
  • Fraction times fraction: multiply numerators, multiply denominators, then simplify.
  • Write a whole number as a fraction over 1 before multiplying.
  • Change mixed numbers to improper fractions, multiply, then write the answer as a mixed number.
  • An area model shows the product as the overlap of shaded parts.

How to use this multiply fractions worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

Download the multiply fractions worksheet as a PDF with the button below and keep it with your notes.

All Grade 5 chapters: Grade 5 math.

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5th Grade Multiplying Fractions and Mixed Numbers Worksheet

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