Add 27/48 and 35/63
27/48 + 35/63 is 161/144.
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,
27/48 = 27 × 21/48 × 21 = 567/1008 - Likewise, for the 2nd fraction, since 63 × 16 = 1008,
35/63 = 35 × 16/63 × 16 = 560/1008 - Add the two like fractions:
567/1008 + 560/1008 = 567 + 560/1008 = 1127/1008 - 1127/1008 simplified gives 161/144
- So, 27/48 + 35/63 = 161/144
In mixed form: 117/144
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