Add 10/12 and 30/35
10/12 + 30/35 is 71/42.
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,
30/35 = 30 × 12/35 × 12 = 360/420 - Add the two like fractions:
350/420 + 360/420 = 350 + 360/420 = 710/420 - 710/420 simplified gives 71/42
- So, 10/12 + 30/35 = 71/42
In mixed form: 129/42
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