Add 40/49 and 21/54
40/49 + 21/54 is 1063/882.
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,
40/49 = 40 × 54/49 × 54 = 2160/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
21/54 = 21 × 49/54 × 49 = 1029/2646 - Add the two like fractions:
2160/2646 + 1029/2646 = 2160 + 1029/2646 = 3189/2646 - 3189/2646 simplified gives 1063/882
- So, 40/49 + 21/54 = 1063/882
In mixed form: 1181/882
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