**Addition, subtraction, multiplication and division – Fractions**

Adding and subtracting

To add or subtract fractions, they have to have the same **denominator.**

If the denominators are different you have to find the **lowest common multiple.**

^{1}/_{5} + ^{1}/_{2} = ^{7}/_{10}

^{7}/_{9} - ^{1}/_{6} = ^{33}/_{54}

Multiplying fractions

To multiply fractions you have to multiply the **numerators** and multiply the **denominators.** To simplify the fractions you can **cancel out** opposite numbers.

^{2}/_{5} × ^{7}/_{8} = ^{2}/_{5} x ^{7}/_{8} = ^{1}/_{5} x ^{7}/_{4} = ^{7}/_{20}

Dividing fractions

To divide fractions you have to turn the **second** fraction upside down and then **multiply.**

^{3}/_{5} ÷ ^{6}/_{7} =^{3}/_{5} × ^{7}/_{6} =^{1}/_{5} × ^{7}/_{2} (the top 3 and bottom 6 cancel) = ^{1×7}/_{5×2} =^{7}/_{10}

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