Add 36/84 and 10/49
36/84 + 10/49 is 31/49.
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,
36/84 = 36 × 7/84 × 7 = 252/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
10/49 = 10 × 12/49 × 12 = 120/588 - Add the two like fractions:
252/588 + 120/588 = 252 + 120/588 = 372/588 - 372/588 simplified gives 31/49
- So, 36/84 + 10/49 = 31/49
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