Add 36/49 and 21/54
36/49 + 21/54 is 991/882.
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,
36/49 = 36 × 54/49 × 54 = 1944/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
21/54 = 21 × 49/54 × 49 = 1029/2646 - Add the two like fractions:
1944/2646 + 1029/2646 = 1944 + 1029/2646 = 2973/2646 - 2973/2646 simplified gives 991/882
- So, 36/49 + 21/54 = 991/882
In mixed form: 1109/882
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