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Grade 7 Fractions to Decimals (Terminating & Repeating) Worksheet with Answers

Grade 7 (US) · Year 8 (UK) · Class 7 (India) · Math

Unit 3: The Number SystemRational NumbersCCSS 7.NS.A.2d

Converting fractions to decimals with long division and spotting terminating and repeating decimals. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Fractions to Decimals (Terminating & Repeating)

Grade 7 · Math

Score___ / 12

Name

Class

Date

Learning goal: Rational Numbers · CCSS 7.NS.A.2d

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

Write 3/5 as a decimal.

Answer: 0.6

RememberFractions, decimals and percents

1/2=0.5=50%1/4=0.25=25%3/4=0.75=75%1/5=0.2=20%1/10=0.1=10%
  1. 1

    Write 5/12 as a decimal.

    Answer
  2. 2

    Write 3/8 as a decimal.

    Answer
  3. 3

    Write 2/9 as a decimal.

    Answer
  4. 4

    Write 7/9 as a decimal.

    Answer
  5. 5

    Does 1/4 make a terminating or repeating decimal?

    Answer
  6. 6

    Write 9/16 as a decimal.

    Answer
  7. 7

    Does 5/6 make a terminating or repeating decimal?

    Answer
  8. 8

    Write 1/3 as a decimal.

    Answer
  9. 9

    Write 10/11 as a decimal.

    Answer
  10. 10

    Write 7/8 as a decimal.

    Answer
  11. 11

    Write 11/16 as a decimal.

    Answer
  12. 12

    Does 3/8 make a terminating or repeating decimal?

    Answer

★ Challenge corner for fast finishers

What is the smallest number that leaves a remainder of 1 when divided by 2, 3 or 4, and is divisible by 7?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/7/fraction_to_decimal

Answer key (click to show)
  1. 1.0.4166... (6 repeats)
  2. 2.0.375
  3. 3.0.22... (2 repeats)
  4. 4.0.77... (7 repeats)
  5. 5.terminating
  6. 6.0.5625
  7. 7.repeating
  8. 8.0.33... (3 repeats)
  9. 9.0.9090... (90 repeats)
  10. 10.0.875
  11. 11.0.6875
  12. 12.terminating
  13. ★49 (challenge corner)

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