Add 21/63 and 27/42
21/63 + 27/42 is 41/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 63 × 2 = 126,
21/63 = 21 × 2/63 × 2 = 42/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
27/42 = 27 × 3/42 × 3 = 81/126 - Add the two like fractions:
42/126 + 81/126 = 42 + 81/126 = 123/126 - 123/126 simplified gives 41/42
- So, 21/63 + 27/42 = 41/42
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