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Adding Different Denominator Fractions

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Adding Different Denominator Fractions

Show your working and simplify each answer where possible.

Equivalent fractions

1.Complete the equivalent fractions: 1/2 = /4 = /8.
2.Complete: 2/3 = /6 = 4/ .
3.Select every fraction equivalent to 1/2.
  • 3/6
  • 3/8
  • 5/10
  • 4/6

Model and add

4.Use the fraction bar to represent 1/4 + 1/2. Rename the fractions in fourths, then find the total.
5.Show 1/3 + 1/6 with the fraction bar. Rename the fractions in sixths and add.
6.For 1/2 + 1/4, state a common denominator, rename both fractions, and give the sum.
7.Calculate 1/3 + 1/6. Show the equivalent fractions and simplify if possible.
8.Calculate 2/3 + 1/6. Show the equivalent fractions and simplify if possible.
9.Calculate 1/4 + 1/2. Show the equivalent fractions and simplify if possible.

Number lines and everyday maths

10.Mark the starting amount, show a jump of 2/6, and label the total for 1/6 + 2/6.
00.1666670.3333330.50.6666670.8333331
11.Use the number line to show 1/4 + 1/4. Label the sum and simplify it.
00.250.50.751
12.For the class newspaper’s food page, Georgia ate 1/4 of a shared flatbread and Keira ate 1/2 of the same flatbread. What fraction did they eat altogether?
13.A recipe for the class newspaper needs 1/3 cup of oats and 1/6 cup of seeds. How many cups do those ingredients measure altogether?
14.Why do you rename fractions with a common denominator before adding them?
15.What should you do first when adding fractions with different denominators?
  • Add the denominators
  • Choose an equivalent fraction for each so the parts have the same size
  • Subtract the numerators
  • Round both fractions

3 printable pages

  • Adding Different Denominator Fractions, page 1 of 3: Equivalent fractions, Model and add

    Page 1

  • Adding Different Denominator Fractions, page 2 of 3: Number lines and everyday maths

    Page 2

  • Adding Different Denominator Fractions, page 3 of 3: 13. A recipe for the class newspaper needs 1/3 cup of oats and 1/6 cup of seeds. How many…

    Page 3

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