Add 9/12 and 35/49
9/12 + 35/49 is 41/28.
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,
9/12 = 9 × 49/12 × 49 = 441/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
35/49 = 35 × 12/49 × 12 = 420/588 - Add the two like fractions:
441/588 + 420/588 = 441 + 420/588 = 861/588 - 861/588 simplified gives 41/28
- So, 9/12 + 35/49 = 41/28
In mixed form: 113/28
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