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Art Studio: Building with Unit Fractions worksheet preview

Worksheet

Art Studio: Building with Unit Fractions

Grade 4 art studio practice writing a whole number times a fraction, like 4 × 2/6, as a multiple of a unit fraction, like 8 × 1/6.

Grade 4MathInteractive · Printable

Aligned to4.NF.B.4.b

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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 4
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students rewrite a whole number times a fraction as a multiple of a unit fraction, like 4 × 2/6 = 8 × 1/6.
  • Students find the missing whole number or unit fraction in equations such as 5 × 3/4 = 15 × 1/4.
  • Students explain why the denominator stays the same when a fraction is multiplied by a whole number.

How to use

Use after students can write a fraction like 3/8 as 3 × 1/8. Have them shade fraction bars or circles for the first two problems, then work without pictures.

Curriculum

Common Core standard covered

4.NF.B.4.b

Understand a whole number times a fraction as a multiple of a unit fraction.

Preview

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Art Studio: Building with Unit Fractions

Turn a whole number times a fraction into copies of a unit fraction.

Count the unit fractions

Fill in each blank. Think about how many unit fractions there are in all.

1.
Each poster uses 2/6 of a jar of blue paint. Priya paints 4 posters.

2/6 =   × 1/6, so 4 × 2/6 =   × 1/6 of a jar

2.
Diego glues 3 strips of ribbon onto a card. Each strip is 3/8 of a foot long. Write the total length in eighths.

3 × 3/8 = 3/8 + 3/8 + 3/8 =  /8 of a foot

3.
Kai mixes 4 cups of paint. He stirs 2/5 of a spoon of glitter into each cup. Which shows 4 × 2/5 as a multiple of 1/5?
  • A. 6 × 1/5
  • B. 8 × 1/10
  • C. 8 × 1/5
  • D. 4 × 1/5
4.
Write the missing number.

6 × 2/3 =   × 1/3

5.
Write the missing unit fraction.

7 × 3/10 = 21 ×  

6.
Mr. Novak rolls some clay snakes. Each snake is 3/4 of a foot long. Altogether, the snakes are 15 × 1/4 feet long. How many snakes did he roll?

  × 3/4 = 15 × 1/4

Same amount, different names

Look for expressions that name the same amount.

7.
The art class needs 12 × 1/8 of a yard of yarn. Circle every expression that equals 12 × 1/8.

6 × 2/84 × 2/83 × 4/84 × 3/42 × 6/85 × 3/8

8.
Lena makes 3 paper pinwheels. She colors 2/5 of a paper circle for each one. How much paper does she color in all?
  • A. 6/15 of a circle
  • B. 6/5 of a circle
  • C. 5/5 of a circle
  • D. 2/15 of a circle
9.
Tom says 4 × 3/5 and 3 × 4/5 are the same amount of paint. Write each one as a multiple of 1/5 to check.

4 × 3/5 =   × 1/5 and 3 × 4/5 =   × 1/5

10.
Ana fills a jar with 9/10 of a liter of paint water. Her cup holds 3/10 of a liter. How many cups does she pour into the jar?

  × 3/10 = 9 × 1/10

Think like an artist

Sort the paint amounts, then explain your thinking.

11.
Each expression tells how many jars of paint a group uses. Sort each one.
2 × 3/83 × 3/85 × 1/64 × 2/62 × 2/43 × 2/10
Less than 1 jar1 jar or more
12.
Sam says 5 × 2/3 = 10/15 because you multiply the top and the bottom by 5. Is Sam right? Explain using unit fractions.

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