Add 49/84 and 42/49
49/84 + 42/49 is 121/84.
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,
49/84 = 49 × 7/84 × 7 = 343/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
42/49 = 42 × 12/49 × 12 = 504/588 - Add the two like fractions:
343/588 + 504/588 = 343 + 504/588 = 847/588 - 847/588 simplified gives 121/84
- So, 49/84 + 42/49 = 121/84
In mixed form: 137/84
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