Fraction-Decimal Equivalents · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Fraction-decimal equivalents

Mathematics · Fractions · ages 8-9
Name ______________________   Date ____________

  1. True or false: 1/4 is the same as 0.5.

    Circle one:   True   False

  2. Which decimal means the same as one half, 1/2?

    • 0.2
    • 0.5
    • 0.25
    • 0.75

  3. What decimal is the same as 3/4?

    • 0.34
    • 0.57
    • 0.43
    • 0.75

  4. What decimal equals 1/4?

    • 0.4
    • 0.25
    • 0.14

  5. Which of these amounts is the biggest: 0.34, 5/10, or 0.65?

    • 0.34
    • 5/10
    • 0.65

  6. You are sorting cards so each fraction sits next to its matching decimal. Which pair is matched the right way?

    • 1/2 with 0.25
    • 1/4 with 0.5
    • 3/4 with 0.75
    • 1/2 with 0.75

  7. This bar has 4 equal parts, 3 shaded. Match it to its decimal.

    • 0.25
    • 0.5
    • 0.75

  8. A hundredths grid has 100 little squares and 25 of them are shaded. Which list names the shaded part three correct ways?

    • 1/4, 25/100, 0.25
    • 1/2, 5/100, 0.5
    • 3/4, 75/10, 0.75
    • 1/4, 4/100, 0.4

  9. A hundredths grid has 1/4 of it shaded. How many of the 100 squares are shaded?

    Answer: ______________

  10. Priya says 1/4 = 0.14, because she wrote the '1' then the '4' after the decimal point. What is her mistake?

    • She should have written 0.25, since 1/4 is 25 hundredths
    • She should have written 0.4, since 1/4 has a 4 in it
    • She is actually correct
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Answer key

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

Fraction-decimal equivalents W1-mt_DRlbMok2lT-s1

  1. False · 1/4 is 0.25. The decimal 0.5 is one half, not one quarter.
  2. 0.5 · One half is 5 tenths, and 5 tenths is written 0.5.
  3. 0.75 · Three quarters is 75 hundredths, which is written 0.75.
  4. 0.25 · 1/4 is 25 hundredths, written 0.25, not 0.4.
  5. 0.65 · Rewriting 5/10 as 0.5 lets you compare all three as decimals, and 0.65 is the biggest.
  6. 3/4 with 0.75 · Only 3/4 with 0.75 is a true match. The others mix up 0.25, 0.5, and 0.75.
  7. 0.75 · 3 out of 4 shaded parts is 3/4, which is 0.75.
  8. 1/4, 25/100, 0.25 · 25 shaded squares out of 100 is 25/100 = 0.25, and 25 squares is exactly one of four equal parts, so it is also 1/4.
  9. 25 · One quarter of 100 is 25, because 100 split into 4 equal parts gives 25 in each part.
  10. She should have written 0.25, since 1/4 is 25 hundredths · 1/4 splits a whole into 25 hundredths, not the separate digits 1 and 4.
Worksheet · LightMySky