Add 35/12 and 42/49
1st number: 2 11/12, 2nd number: 42/49
35/12 + 42/49 is 317/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 12 × 49 = 588,
35/12 = 35 × 49/12 × 49 = 1715/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
42/49 = 42 × 12/49 × 12 = 504/588 - Add the two like fractions:
1715/588 + 504/588 = 1715 + 504/588 = 2219/588 - 2219/588 simplified gives 317/84
- So, 35/12 + 42/49 = 317/84
In mixed form: 365/84
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