Add 2/84 and 35/49
2/84 + 35/49 is 31/42.
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,
2/84 = 2 × 7/84 × 7 = 14/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
35/49 = 35 × 12/49 × 12 = 420/588 - Add the two like fractions:
14/588 + 420/588 = 14 + 420/588 = 434/588 - 434/588 simplified gives 31/42
- So, 2/84 + 35/49 = 31/42
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