Add 35/12 and 49/35
1st number: 2 11/12, 2nd number: 1 14/35
35/12 + 49/35 is 259/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
35/12 = 35 × 35/12 × 35 = 1225/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
49/35 = 49 × 12/35 × 12 = 588/420 - Add the two like fractions:
1225/420 + 588/420 = 1225 + 588/420 = 1813/420 - 1813/420 simplified gives 259/60
- So, 35/12 + 49/35 = 259/60
In mixed form: 419/60
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