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Fractions into decimals: 7th grade math

Convert fractions to decimals by long division; terminating vs. repeating. A free 7th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: convert fractions to decimals by long division; terminating vs. repeating.

Teach (10 min)

  • A fraction is a division: 3/8 = 3 ÷ 8 = 0.375. Or make the bottom 10, 100 or 1000: 7/20 = 35/100 = 0.35.
  • Keep the sign: −7/20 = −0.35.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/rational.toDecimal?lesson=7-rat-todec&at=7

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. Write 1/10 as a decimal: ?
  • 2. Write 2/5 as a decimal: ?
  • 3. Write 1/5 as a decimal: ?

Question set

10 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

  1. Write 1/10 as a decimal: ?
  2. Write 2/5 as a decimal: ?
  3. Write 1/5 as a decimal: ?
  4. Write 7/10 as a decimal: ?
  5. Write 1/2 as a decimal: ?
  6. Write 1/4 as a decimal: ?
  7. Write 17/20 as a decimal: ?
  8. Write 3/4 as a decimal: ?
  9. Write 39/50 as a decimal: ?
  10. Write 5/8 as a decimal: ?
Answers
  1. 0.1
  2. 0.4
  3. 0.2
  4. 0.7
  5. 0.5
  6. 0.25
  7. 0.85
  8. 0.75
  9. 0.78
  10. 0.625

Printable sheet

Name: ____________________   Date: ____________

Fractions into decimals (7th grade)

  1. Write 25 as a decimal: ?
  2. Write 710 as a decimal: ?
  3. Write 12 as a decimal: ?
  4. Write 15 as a decimal: ?
  5. Write 2950 as a decimal: ?
  6. Write 45 as a decimal: ?
  7. Write 720 as a decimal: ?
  8. Write 110 as a decimal: ?
  9. Write 1125 as a decimal: ?
  10. Write −110 as a decimal: ?
  11. Write −1920 as a decimal: ?
  12. Write −910 as a decimal: ?
Key
  1. 0.4
  2. 0.7
  3. 0.5
  4. 0.2
  5. 0.58
  6. 0.8
  7. 0.35
  8. 0.1
  9. 0.44
  10. −0.1
  11. −0.95
  12. −0.9

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.