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Hiking Trail Fractions: Split It, Then Take Parts worksheet preview

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Hiking Trail Fractions: Split It, Then Take Parts

Grade 5 practice finding a fraction of a whole number or a fraction by splitting it into equal parts and taking some, with hiking trail stories.

Grade 5MathInteractive · Printable

Aligned to5.NF.B.4.a

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 12 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 5
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students find (a/b) × q by splitting q into b equal parts and taking a of those parts.
  • Students find a fraction of a fraction by splitting each part into smaller equal pieces.
  • Students match fraction multiplication equations to story problems and write their own stories.

How to use

Use after introducing a fraction of a whole number. Have students sketch a bar for each problem in the first section and label the equal parts before they write the product.

Curriculum

Common Core standard covered

5.NF.B.4.a

Understand multiplying a fraction by a whole number or a fraction as taking parts of a partition.

Preview

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Name Date

Hiking Trail Fractions: Split It, Then Take Parts

Find a fraction of an amount by making equal parts and taking some of them.

A fraction of a whole number

Split the amount into equal parts. Then take the number of parts you need.

1.
The Pine Loop trail is 6 miles long. Trail signs split it into 3 equal parts. Kenji hikes 2 of those parts.

Each part is 6 ÷ 3 =   miles. Kenji hikes 2/3 × 6 =   miles.

2.
The Ridge Path is 4 miles long. It is split into 5 equal parts. Lucia hikes 3 of the parts.

Each part is 4 ÷ 5 =   of a mile. Lucia hikes 3/5 × 4 =   miles.

3.
Which steps find 2/3 × 9?
  • A. Split 9 into 2 equal parts. Then take 3 of the parts.
  • B. Split 9 into 3 equal parts. Then take 2 of the parts.
  • C. Split 9 into 3 equal parts. Then take 1 of the parts.
  • D. Multiply 9 by 3. Then divide by 2.

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