Grade 7 · Math

7th grade Switch between fractions, decimals and percents, including repeating decimals worksheet

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Switch between fractions, decimals and percents, including repeating decimals

Grade 7 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Luz pours juice until a jar is 3/16 full. What is 3/16 as a decimal?
A gust changed the height of Milo's kite by -5/4 m. What is -5/4 as a decimal?
Noah colored 11/16 of a poster before lunch. What percent is 11/16?
Pia's team has won 11/40 of its games, and nobody has complained yet. What percent is 11/40?
Ren's toy airplane flew 9/5 as far as the last throw. What percent is 9/5?
7.5% of Luz's class walks to school. What is 7.5% as a decimal?
Pia read 0.035 of a long library book today. What percent of the book is that?
8.
Bo finds four fractions in a math book and divides each one. Which fraction's decimal never ends?
- 7/9
- 4/5
- 5/16
- 11/80
Jun divides 7 by 9 on paper and the digits never stop. What is 7/9 as a decimal that never ends? Write it like 0.8 repeating.
Kira divides 7 by 11 while the clock ticks. What is 7/11 as a decimal that never ends? Write it like 0.8 repeating.

7th grade Switch between fractions, decimals and percents, including repeating decimals worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Switch between fractions, decimals and percents, including repeating decimals. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can change a fraction, a decimal and a percent into each other, including negatives, numbers over 1 and tiny percents like 0.5%.
I can divide the top by the bottom with long division, and tell from the remainders whether the decimal ends or repeats.
I can write a repeating decimal like 2/3 as 0.6 repeating, round one, and say how many digits repeat.

Standard: 7.NS.A.2d

Words to know

terminating decimal: A decimal that ends, like 0.375. The division finishes with remainder 0.

repeating decimal: A decimal whose digits repeat forever, like 0.6666… for 2/3.

remainder: What is left over after a division step.

percent: A number out of 100. 35% means 35 out of 100.

simplest form: A fraction with no number that divides both top and bottom.

Common mistakes

Your child counted one jump too few.

Your child counted one jump too many.

Your child got the right size but left off the minus sign.

What to say

Ask: how many jumps does the question say, and did you use all of them?

Ask: how many jumps does the question say? Count them on the line, starting from 0.

Ask: is the number left or right of 0, and what does that say about its sign?

Questions parents ask

What is the most common mistake with switch between fractions, decimals and percents, including repeating decimals?

Your child counted one jump too few.

How can I help my child with switch between fractions, decimals and percents, including repeating decimals?

Ask: how many jumps does the question say, and did you use all of them?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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