Add 49/84 and 36/96
49/84 + 36/96 is 23/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 84 × 8 = 672,
49/84 = 49 × 8/84 × 8 = 392/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
36/96 = 36 × 7/96 × 7 = 252/672 - Add the two like fractions:
392/672 + 252/672 = 392 + 252/672 = 644/672 - 644/672 simplified gives 23/24
- So, 49/84 + 36/96 = 23/24
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