Add 40/84 and 14/49
40/84 + 14/49 is 16/21.
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,
40/84 = 40 × 7/84 × 7 = 280/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
14/49 = 14 × 12/49 × 12 = 168/588 - Add the two like fractions:
280/588 + 168/588 = 280 + 168/588 = 448/588 - 448/588 simplified gives 16/21
- So, 40/84 + 14/49 = 16/21
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