Decimals and fractions (age 11+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Decimals and fractions, fluently both ways

Mathematics · Fractions · ages 11-13
Name ______________________   Date ____________

  1. Which fraction equals 0.25 in simplest form?

    • 1/4
    • 25/100
    • 1/25

  2. A fraction with denominator 5 will always produce a terminating decimal.

    Circle one:   True   False

  3. Which decimal equals 3/4?

    • 0.34
    • 0.75
    • 0.43

  4. What is 3/100 as a decimal?

    Answer: ______________

  5. What is 7/20 as a decimal?

    • 0.35
    • 0.7
    • 0.207
    • 3.5

  6. Which fraction will NOT terminate as a decimal?

    • 2/3
    • 3/8
    • 7/20

  7. Which decimal is equal to 3/4?

    • 0.75
    • 0.34
    • 0.43
    • 7.5

  8. Write 0.375 as a fraction in simplest form.

    • 3/8
    • 375/1000
    • 3/10
    • 7/8

  9. Priya writes 0.48 as 48/100 and stops there. What's the actual simplest form?

    • 24/50
    • 12/25
    • 48/100 is already simplest

  10. True or false: 1/3 can be written as a decimal that ends.

    Circle one:   True   False

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Decimals and fractions, fluently both ways W1-mt_SBkTGjiZjZ-s1

  1. 1/4 · 0.25 means 25/100. Divide top and bottom by 25 to get 1/4.
  2. True · 5 is one of the two prime factors (2 and 5) that always let a fraction terminate.
  3. 0.75 · 3/4 = 75/100, and 75/100 written as a decimal is 0.75.
  4. 0.03 · A denominator of 100 means hundredths, so 3/100 = 0.03.
  5. 0.35 · Multiply the top and bottom by 5 to get 35/100, which is 0.35.
  6. 2/3 · 3 is not a factor of 2 or 5, so 2/3 repeats forever as 0.666...
  7. 0.75 · 3/4 = 75/100 = 0.75, a handy conversion to remember.
  8. 3/8 · 0.375 is 375 thousandths, which is 375/1000, and that simplifies to 3/8.
  9. 12/25 · 48 and 100 share a common factor of 4. Dividing both by 4 gives 12/25, which can't be simplified further.
  10. False · 1 ÷ 3 = 0.3333... and the 3s never stop, because 3 has a prime factor other than 2 and 5.
Worksheet · LightMySky