Add 35/42 and 56/63
35/42 + 56/63 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 63 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
56/63 = 56 × 2/63 × 2 = 112/126 - Add the two like fractions:
105/126 + 112/126 = 105 + 112/126 = 217/126 - 217/126 simplified gives 31/18
- So, 35/42 + 56/63 = 31/18
In mixed form: 113/18
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