Add 10/84 and 14/49
10/84 + 14/49 is 17/42.
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,
10/84 = 10 × 7/84 × 7 = 70/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
14/49 = 14 × 12/49 × 12 = 168/588 - Add the two like fractions:
70/588 + 168/588 = 70 + 168/588 = 238/588 - 238/588 simplified gives 17/42
- So, 10/84 + 14/49 = 17/42
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