Add 3/12 and 42/49
3/12 + 42/49 is 31/28.
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,
3/12 = 3 × 49/12 × 49 = 147/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
42/49 = 42 × 12/49 × 12 = 504/588 - Add the two like fractions:
147/588 + 504/588 = 147 + 504/588 = 651/588 - 651/588 simplified gives 31/28
- So, 3/12 + 42/49 = 31/28
In mixed form: 13/28
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