Add 21/49 and 42/54
21/49 + 42/54 is 76/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 54 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 49 × 54 = 2646,
21/49 = 21 × 54/49 × 54 = 1134/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
42/54 = 42 × 49/54 × 49 = 2058/2646 - Add the two like fractions:
1134/2646 + 2058/2646 = 1134 + 2058/2646 = 3192/2646 - 3192/2646 simplified gives 76/63
- So, 21/49 + 42/54 = 76/63
In mixed form: 113/63
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