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Convert both fractions into equivalent fractions having the same denominator.

The value of this common denominator can be obtained by multiplying together the original denominators or there may be a Lowest Common Multiple that can be used.

EXAMPLE: 4/5 - 3/7 : The common denominator is 5 x 7 = 35

4/5 = 28/35 : 5 divides into 35 seven times, so the numerator and denominator have both been multiplied by 7 to produce an equivalent fraction.

3/7 = 15/35 : As above, but in this case 7 divides into 35 five times, so 5 has been used as the multiplier.

28/35 - 15/35 = 13/35 : If the fraction could be simplified then at this stage this would be done.

In practice, the above stages would be merged so that the calculation becomes :-

4/5 - 3/7 = (7x4) - (5x3) ÷ 35 = (28-15)/35 = 13/35

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Q: How do you subtract improper fractions with different denomnator?
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