Add 49/35 and 16/12
1st number: 1 14/35, 2nd number: 1 4/12
49/35 + 16/12 is 41/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 12 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
49/35 = 49 × 12/35 × 12 = 588/420 - Likewise, for the 2nd fraction, since 12 × 35 = 420,
16/12 = 16 × 35/12 × 35 = 560/420 - Add the two like fractions:
588/420 + 560/420 = 588 + 560/420 = 1148/420 - 1148/420 simplified gives 41/15
- So, 49/35 + 16/12 = 41/15
In mixed form: 211/15
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