Add 40/48 and 54/63
40/48 + 54/63 is 71/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 63 is 1008
Next, find the equivalent fraction of both fractional numbers with denominator 1008 - For the 1st fraction, since 48 × 21 = 1008,
40/48 = 40 × 21/48 × 21 = 840/1008 - Likewise, for the 2nd fraction, since 63 × 16 = 1008,
54/63 = 54 × 16/63 × 16 = 864/1008 - Add the two like fractions:
840/1008 + 864/1008 = 840 + 864/1008 = 1704/1008 - 1704/1008 simplified gives 71/42
- So, 40/48 + 54/63 = 71/42
In mixed form: 129/42
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