Add 30/35 and 8/12
30/35 + 8/12 is 32/21.
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,
30/35 = 30 × 12/35 × 12 = 360/420 - Likewise, for the 2nd fraction, since 12 × 35 = 420,
8/12 = 8 × 35/12 × 35 = 280/420 - Add the two like fractions:
360/420 + 280/420 = 360 + 280/420 = 640/420 - 640/420 simplified gives 32/21
- So, 30/35 + 8/12 = 32/21
In mixed form: 111/21
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