Add 70/84 and 42/49
70/84 + 42/49 is 71/42.
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,
70/84 = 70 × 7/84 × 7 = 490/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
42/49 = 42 × 12/49 × 12 = 504/588 - Add the two like fractions:
490/588 + 504/588 = 490 + 504/588 = 994/588 - 994/588 simplified gives 71/42
- So, 70/84 + 42/49 = 71/42
In mixed form: 129/42
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