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Grade 3 Math — Equivalent fractions

Recognize fractions that are worth the same amount.

Name: ________________________

Before you start

Shade some of the bar, then cut it into more pieces. What happens to the shaded part?

123456789101112

Cutting the bar into more pieces never changes how much is shaded — only what you call it.

  1. 1.Each mark on this line is one twelfth. Which mark is 2/3 of the whole?

    Mark the line with an X.

    024681012

  2. 2.Sort each fraction by whether it is worth the same as 2/3 or not.

    Groups: The same as 2/3 · Not the same as 2/3

    • 8/12
    • 4/6
    • 3/5
    • 5/8
    • 2/5
    • 10/15

  3. 3.One bar shows 2/3 and the other shows 4/6. Which bar will show more when they are filled in?

    Which bar shows more when they are filled in? Circle one.

    2/34/6

    Top / The same / Bottom

  4. 4.Match each fraction to another fraction worth exactly the same amount.

    • 1/4
    • 2/5
    • 3/8
    • 5/6
    • 6/16
    • 3/12
    • 4/10
    • 10/12

  5. 5.The top bar shows 1/2. Shade the bottom bar so that it shows the same amount.

    Shade the second bar to show the same amount as the first.

    1/2

  6. 6.Fill in the missing number: 3/4 = 15/?

  7. 7.Each of these has its top number missing. Work them out and put them in order, smallest missing number first.

    • 1/2 = ?/10
    • 1/2 = ?/6
    • 2/3 = ?/12
    • 3/4 = ?/16

  8. 8.Which fraction is the same as 5/10?

    • a) 2/5
    • b) 1/2
    • c) 5/5
    • d) 1/5

Answer key — Grade 3 Math — Equivalent fractions

  1. 1. 8
  2. 2. 4/6 → The same as 2/3; 3/5 → Not the same as 2/3; 10/15 → The same as 2/3; 5/8 → Not the same as 2/3; 8/12 → The same as 2/3; 2/5 → Not the same as 2/3
  3. 3. they show the same amount
  4. 4. 1/4 → 3/12; 2/5 → 4/10; 3/8 → 6/16; 5/6 → 10/12
  5. 5. 3/6
  6. 6. 20
  7. 7. 1. 1/2 = ?/6 2. 1/2 = ?/10 3. 2/3 = ?/12 4. 3/4 = ?/16
  8. 8. b) 1/2