Add 40/48 and 49/63
40/48 + 49/63 is 29/18.
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,
49/63 = 49 × 16/63 × 16 = 784/1008 - Add the two like fractions:
840/1008 + 784/1008 = 840 + 784/1008 = 1624/1008 - 1624/1008 simplified gives 29/18
- So, 40/48 + 49/63 = 29/18
In mixed form: 111/18
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