Add 36/48 and 20/63
36/48 + 20/63 is 269/252.
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,
36/48 = 36 × 21/48 × 21 = 756/1008 - Likewise, for the 2nd fraction, since 63 × 16 = 1008,
20/63 = 20 × 16/63 × 16 = 320/1008 - Add the two like fractions:
756/1008 + 320/1008 = 756 + 320/1008 = 1076/1008 - 1076/1008 simplified gives 269/252
- So, 36/48 + 20/63 = 269/252
In mixed form: 117/252
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