Add 27/42 and 42/63
27/42 + 42/63 is 55/42.
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,
27/42 = 27 × 3/42 × 3 = 81/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
42/63 = 42 × 2/63 × 2 = 84/126 - Add the two like fractions:
81/126 + 84/126 = 81 + 84/126 = 165/126 - 165/126 simplified gives 55/42
- So, 27/42 + 42/63 = 55/42
In mixed form: 113/42
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