Add 8/12 and 49/70
8/12 + 49/70 is 41/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
8/12 = 8 × 35/12 × 35 = 280/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
49/70 = 49 × 6/70 × 6 = 294/420 - Add the two like fractions:
280/420 + 294/420 = 280 + 294/420 = 574/420 - 574/420 simplified gives 41/30
- So, 8/12 + 49/70 = 41/30
In mixed form: 111/30
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