Grade 5Fractions & DecimalsOriginal practice

Multiply Fractions and Explain Scaling: Explore and Explain Worksheet — Grade 5

Multiply Fractions and Explain Scaling: Explore and Explain: Connect a fraction of a quantity to equal groups. Starts with 2 practice tasks. Answer guidance included. Print on Letter/A4 or save as PDF from the print window.

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3 distinct sets for the same goals and support level. Each set keeps its material and matching answers together. Choose “Save as PDF” in your browser’s print window to keep a copy.

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Independent activity · About 10 minutes · Pencil

Practice set 1 of 3. Each set keeps the same learning goal and task structures.

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Grade 5 · Mathematics

Multiply Fractions and Explain Scaling: Explore and Explain

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Grade 5 · Mathematics · continued

Multiply Fractions and Explain Scaling: Explore and Explain

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A fraction can scale an amount

2/3 of a group means divide the whole into 3 equal parts and take 2 parts. Multiplying a positive quantity by a number between 0 and 1 makes it smaller.

Worked example: 3/4 of 8 is 6. In a unit rectangle, 1/2 × 1/3 covers 1 of 6 equal cells. Explore the material. Talk through your reasoning with suitable support.

1.Find 2/3 of 12.

2.Find 1/3 of 12.

Grade 5 · Mathematics · Answer key

Multiply Fractions and Explain Scaling: Explore and Explain

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Open responses use criteria and an illustrative response. Other well-supported responses can be acceptable.

Grade 5 · Mathematics · Answer key · continued

Multiply Fractions and Explain Scaling: Explore and Explain

Scan for answers

A fraction can scale an amount

2/3 of a group means divide the whole into 3 equal parts and take 2 parts. Multiplying a positive quantity by a number between 0 and 1 makes it smaller.

Worked example: 3/4 of 8 is 6. In a unit rectangle, 1/2 × 1/3 covers 1 of 6 equal cells. Explore the material. Talk through your reasoning with suitable support.

1.Find 2/3 of 12.

Answer:8

2.Find 1/3 of 12.

Answer:4

About this practice

Grade 5 · Mathematics · Matching answer key included · US Letter and A4

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Teaching guide, sample answers and curriculum references

Before you begin

Use the prerequisite representations before moving to independent work.

How to use this worksheet

Begin with: Find 2/3 of 12.
Connect the response to: Calculate 2/3 × 1/2. Simplify.
Ask students to apply the idea: Draw a unit rectangle divided into 3 columns and 2 rows. Shade 2/3 of the width and 1/2 of the height. Label the overlap fraction.

A common mistake to discuss

Check the meaning of each quantity, the operation and the units; a numerical answer alone does not show the full reasoning.

What to practice next

Continue to Multiply Fractions and Explain Scaling: Practice Independently.

Original instructional material written for this practice.

Source reference: Common Core mathematics: selected grade or course targets.

Published 2026-10-08; updated 2026-10-08. Read our editorial policy.

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Multiply Fractions and Explain Scaling

A fraction can scale an amount

2/3 of a group means divide the whole into 3 equal parts and take 2 parts. Multiplying a positive quantity by a number between 0 and 1 makes it smaller.

Worked example: 3/4 of 8 is 6. In a unit rectangle, 1/2 × 1/3 covers 1 of 6 equal cells. Use the material to work through each task. Show the requested response.

1.Find 2/3 of 12.

Practice preview

Grade 5

Key

Multiply Fractions and Explain Scaling

Practice · Independent · 30 min

Connect a fraction of a quantity to equal groups. Multiply selected fractions and interpret unit-fraction division. Use an area model and reason about scaling. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.

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Multiply Fractions and Explain Scaling: Apply and Create

A fraction can scale an amount

2/3 of a group means divide the whole into 3 equal parts and take 2 parts. Multiplying a positive quantity by a number between 0 and 1 makes it smaller.

Use what you learned to explain, construct or apply an idea.

1.Draw a unit rectangle divided into 3 columns and 2 rows. Shade 2/3 of the width and 1/2 of the height. Label the overlap fraction.

Practice preview

Grade 5

Key

Multiply Fractions and Explain Scaling: Apply and Create

Apply · Independent · 20 min

Connect a fraction of a quantity to equal groups. Multiply selected fractions and interpret unit-fraction division. Use an area model and reason about scaling. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.

Choose another practice set

Preview / Print →

Practice preview

Grade 5

Key

Multiply Fractions and Explain Scaling: Practice Independently

Practice · Independent · 15 min

Connect a fraction of a quantity to equal groups. Multiply selected fractions and interpret unit-fraction division. Use an area model and reason about scaling. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.

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Preview / Print →

Practice preview

Grade 5

5.NF.A.1 Key

Adding & Subtracting Fractions with Unlike Denominators

Practice · Independent · 15 min

5th grade fraction arithmetic practice. Find common denominators, convert equivalent fractions, and simplify sums to simplest form.

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