Add 35/96 and 49/63
35/96 + 49/63 is 329/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 63 is 2016
Next, find the equivalent fraction of both fractional numbers with denominator 2016 - For the 1st fraction, since 96 × 21 = 2016,
35/96 = 35 × 21/96 × 21 = 735/2016 - Likewise, for the 2nd fraction, since 63 × 32 = 2016,
49/63 = 49 × 32/63 × 32 = 1568/2016 - Add the two like fractions:
735/2016 + 1568/2016 = 735 + 1568/2016 = 2303/2016 - 2303/2016 simplified gives 329/288
- So, 35/96 + 49/63 = 329/288
In mixed form: 141/288
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