Add 10/12 and 14/35
10/12 + 14/35 is 37/30.
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,
10/12 = 10 × 35/12 × 35 = 350/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
14/35 = 14 × 12/35 × 12 = 168/420 - Add the two like fractions:
350/420 + 168/420 = 350 + 168/420 = 518/420 - 518/420 simplified gives 37/30
- So, 10/12 + 14/35 = 37/30
In mixed form: 17/30
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