Art Studio: Building with Unit Fractions
0 / 12Art 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?
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.
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?
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.
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.