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Grade 3 Math — Understanding fractions

Place fractions on a number line, find equivalent fractions, compare them, and switch between mixed numbers and improper fractions.

Name: ________________________

Before you start

Move along the line and watch the quarters go past. See which fractions land on a whole number and which land between two of them.

0.001.002.00

Every fourth step lands on a whole number, because four quarters make one whole. That is the same fact as 4/4 = 1.

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

  2. 2.What fraction of an hour is 45 minutes? Write it in its simplest form.

  3. 3.Tap where 3/4 sits.

    Mark the line with an X.

    0.001.00

  4. 4.Tap where 7/4 sits.

    Mark the line with an X.

    0.001.002.003.00

  5. 5.Sort each fraction by whether it is less than 1 or more than 1.

    Groups: Less than 1 · More than 1

    • 5/9
    • 7/8
    • 5/4
    • 8/3
    • 9/7
    • 3/4

  6. 6.Put these fractions in order, smallest first.

    • 1/6
    • 1/3
    • 3/4
    • 1/2
    • 1/4
    • 2/3

  7. 7.Write 17/5 as a mixed number.

  8. 8.Write 2 3/5 as an improper fraction.

Answer key — Grade 3 Math — Understanding fractions

  1. 1. 20
  2. 2.
    • 3/4
    • 3 / 4
    • three quarters
    • three-quarters
  3. 3. 0.75
  4. 4. 1.75
  5. 5. 3/4 → Less than 1; 5/4 → More than 1; 7/8 → Less than 1; 9/7 → More than 1; 5/9 → Less than 1; 8/3 → More than 1
  6. 6. 1. 1/6 2. 1/4 3. 1/3 4. 1/2 5. 2/3 6. 3/4
  7. 7.
    • 3 2/5
    • 3 2 / 5
  8. 8.
    • 13/5
    • 13 / 5