Add 10/12 and 49/56
10/12 + 49/56 is 41/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 12 × 14 = 168,
10/12 = 10 × 14/12 × 14 = 140/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
49/56 = 49 × 3/56 × 3 = 147/168 - Add the two like fractions:
140/168 + 147/168 = 140 + 147/168 = 287/168 - 287/168 simplified gives 41/24
- So, 10/12 + 49/56 = 41/24
In mixed form: 117/24
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