Add 14/84 and 42/49
14/84 + 42/49 is 43/42.
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,
14/84 = 14 × 7/84 × 7 = 98/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
42/49 = 42 × 12/49 × 12 = 504/588 - Add the two like fractions:
98/588 + 504/588 = 98 + 504/588 = 602/588 - 602/588 simplified gives 43/42
- So, 14/84 + 42/49 = 43/42
In mixed form: 11/42
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