Add 27/96 and 49/63
27/96 + 49/63 is 305/288.
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,
27/96 = 27 × 21/96 × 21 = 567/2016 - Likewise, for the 2nd fraction, since 63 × 32 = 2016,
49/63 = 49 × 32/63 × 32 = 1568/2016 - Add the two like fractions:
567/2016 + 1568/2016 = 567 + 1568/2016 = 2135/2016 - 2135/2016 simplified gives 305/288
- So, 27/96 + 49/63 = 305/288
In mixed form: 117/288
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