Add 35/42 and 12/63
35/42 + 12/63 is 43/42.
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,
12/63 = 12 × 2/63 × 2 = 24/126 - Add the two like fractions:
105/126 + 24/126 = 105 + 24/126 = 129/126 - 129/126 simplified gives 43/42
- So, 35/42 + 12/63 = 43/42
In mixed form: 11/42
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