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.

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

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

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 × 1/5B. 8 × 1/10C. 8 × 1/5D. 4 × 1/5

Write the missing number.

6 × 2/3 = × 1/3

Write the missing unit fraction.

7 × 3/10 = 21 ×

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

Look for expressions that name the same amount.

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

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 circleB. 6/5 of a circleC. 5/5 of a circleD. 2/15 of a circle

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

Sort the paint amounts, then explain your thinking.

11.

Each expression tells how many jars of paint a group uses. Sort each one.

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.