Add 56/84 and 21/49
56/84 + 21/49 is 23/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 84 × 7 = 588,
56/84 = 56 × 7/84 × 7 = 392/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
21/49 = 21 × 12/49 × 12 = 252/588 - Add the two like fractions:
392/588 + 252/588 = 392 + 252/588 = 644/588 - 644/588 simplified gives 23/21
- So, 56/84 + 21/49 = 23/21
In mixed form: 12/21
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