Equivalent fractions on a number line · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Equivalent fractions on a number line

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

  1. A number line from 0 to 1 is split into 14 equal steps. Which step does 1/2 land on?

    Answer: ______________

  2. Which fraction equals 1/2?

    • 8/20
    • 10/12
    • 10/20
    • 12/20

  3. 1/2 and 2/4 are equivalent fractions. On a number line, where do they land?

    • On the same point
    • On different points, close together
    • On different points, far apart

  4. Equivalent fractions can land on different points on a number line.

    Circle one:   True   False

  5. Here are three fractions equal to 1/3: 2/6, 3/9 and 4 over what number?

    Answer: ______________

  6. Which three fractions are all equivalent to 1/2?

    • 2/4, 3/5, 4/10
    • 4/8, 5/12, 6/10
    • 4/8, 5/10, 6/12

  7. On a number line split into sixteenths, which fraction lands where 3/8 sits?

    • 6/16
    • 3/16
    • 5/16
    • 7/16

  8. Lena shades 8/16 of one circle and 1/2 of the same circle. She says the shaded parts match. Is Lena right?

    Circle one:   True   False

  9. Ben says 3/6 and 2/3 land on the same point because both fractions have a 3 in them. Is Ben's reasoning right?

    • Yes, both fractions have a 3, so they match
    • No, he should compare the actual sizes, not just look for matching numbers
    • Yes, matching numbers always mean equivalent fractions

  10. Which pair lands on the same point of a number line?

    • 3/4 and 6/12
    • 3/4 and 9/12
    • 1/2 and 1/3
    • 2/3 and 3/4
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Answer key

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

Equivalent fractions on a number line W1-mt_Ep7TDFuYUa-s1

  1. 7 · 1/2 is halfway from 0 to 1, and half of 14 steps is 7 steps, so 1/2 lands on step 7, the same point as 7/14.
  2. 10/20 · 10/20 sits halfway along 20 steps, the same point as 1/2. The rest name different amounts.
  3. On the same point · Equivalent fractions always land on the exact same point on a number line.
  4. False · If two fractions are equivalent, they always land on the exact same point, never a different one.
  5. 12 · 4/12 = 1/3, so the missing number is 12.
  6. 4/8, 5/10, 6/12 · 4/8, 5/10, and 6/12 all equal 1/2, so they share the same point on the number line.
  7. 6/16 · Each eighth is 2 sixteenths, so 3/8 = 6/16 and both land on the same mark.
  8. True · Lena is right: 8/16 = 1/2.
  9. No, he should compare the actual sizes, not just look for matching numbers · 3/6 equals 1/2, and 2/3 is bigger than 1/2, so they land on different points. Matching digits do not make fractions equivalent.
  10. 3/4 and 9/12 · 3/4 = 9/12. 6/12 is only a half, and the other pairs differ.
Worksheet · LightMySky