Add 21/54 and 96/49
1st number: 21/54, 2nd number: 1 47/49
21/54 + 96/49 is 2071/882.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 49 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 54 × 49 = 2646,
21/54 = 21 × 49/54 × 49 = 1029/2646 - Likewise, for the 2nd fraction, since 49 × 54 = 2646,
96/49 = 96 × 54/49 × 54 = 5184/2646 - Add the two like fractions:
1029/2646 + 5184/2646 = 1029 + 5184/2646 = 6213/2646 - 6213/2646 simplified gives 2071/882
- So, 21/54 + 96/49 = 2071/882
In mixed form: 2307/882
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