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Worksheets for practicing adding and subtracting fractions with different denominators using visual models and step-by-step guidance.

Three worksheets titled "Adding and Subtracting Fractions with Different Denominators" showing fraction problems with visual aids and step-by-step instructions for finding common denominators.

Three worksheets titled "Adding and Subtracting Fractions with Different Denominators" showing fraction problems with visual aids and step-by-step instructions for finding common denominators.

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Show Answer Key & Explanations Step-by-step solution for: Year 6 Adding and Subtracting Fractions with Different Denominators
Here are the solutions to the fraction problems shown on the worksheets.

Left Worksheet



1) $\frac{1}{4} + \frac{1}{6}$
* Find a common denominator for 4 and 6, which is 12.
* Convert fractions: $\frac{1}{4} = \frac{3}{12}$ and $\frac{1}{6} = \frac{2}{12}$.
* Add numerators: $3 + 2 = 5$.
* Answer: $\frac{5}{12}$

2) $\frac{1}{4} - \frac{1}{8}$
* Common denominator is 8.
* Convert fractions: $\frac{1}{4} = \frac{2}{8}$.
* Subtract numerators: $2 - 1 = 1$.
* Answer: $\frac{1}{8}$

3) $\frac{1}{9} + \frac{1}{6}$
* Common denominator is 18.
* Convert fractions: $\frac{1}{9} = \frac{2}{18}$ and $\frac{1}{6} = \frac{3}{18}$.
* Add numerators: $2 + 3 = 5$.
* Answer: $\frac{5}{18}$

4) $\frac{5}{6} + \frac{1}{3}$
* Common denominator is 6.
* Convert fractions: $\frac{1}{3} = \frac{2}{6}$.
* Add numerators: $5 + 2 = 7$.
* Answer: $\frac{7}{6}$ (or $1 \frac{1}{6}$)

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Middle Worksheet



11) $\frac{1}{3} + \frac{1}{8}$
* Common denominator is 24.
* Convert fractions: $\frac{1}{3} = \frac{8}{24}$ and $\frac{1}{8} = \frac{3}{24}$.
* Add numerators: $8 + 3 = 11$.
* Answer: $\frac{11}{24}$

12) $\frac{1}{4} + \frac{1}{6}$
* Common denominator is 12.
* Convert fractions: $\frac{1}{4} = \frac{3}{12}$ and $\frac{1}{6} = \frac{2}{12}$.
* Add numerators: $3 + 2 = 5$.
* Answer: $\frac{5}{12}$

13) $\frac{3}{4} - \frac{1}{6}$
* Common denominator is 12.
* Convert fractions: $\frac{3}{4} = \frac{9}{12}$ and $\frac{1}{6} = \frac{2}{12}$.
* Subtract numerators: $9 - 2 = 7$.
* Answer: $\frac{7}{12}$

14) $\frac{2}{3} + \frac{1}{4}$
* Common denominator is 12.
* Convert fractions: $\frac{2}{3} = \frac{8}{12}$ and $\frac{1}{4} = \frac{3}{12}$.
* Add numerators: $8 + 3 = 11$.
* Answer: $\frac{11}{12}$

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Right Worksheet



21) $\frac{1}{5} + \frac{1}{10}$
* Common denominator is 10.
* Convert fractions: $\frac{1}{5} = \frac{2}{10}$.
* Add numerators: $2 + 1 = 3$.
* Answer: $\frac{3}{10}$

22) $\frac{5}{8} - \frac{1}{4}$
* Common denominator is 8.
* Convert fractions: $\frac{1}{4} = \frac{2}{8}$.
* Subtract numerators: $5 - 2 = 3$.
* Answer: $\frac{3}{8}$

23) $\frac{1}{3} + \frac{1}{9}$
* Common denominator is 9.
* Convert fractions: $\frac{1}{3} = \frac{3}{9}$.
* Add numerators: $3 + 1 = 4$.
* Answer: $\frac{4}{9}$

24) $\frac{1}{2} - \frac{1}{5}$
* Common denominator is 10.
* Convert fractions: $\frac{1}{2} = \frac{5}{10}$ and $\frac{1}{5} = \frac{2}{10}$.
* Subtract numerators: $5 - 2 = 3$.
* Answer: $\frac{3}{10}$
Parent Tip: Review the logic above to help your child master the concept of rules for adding and subtracting fractions.
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