Add 36/49 and 40/54
36/49 + 40/54 is 1952/1323.
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,
40/54 = 40 × 49/54 × 49 = 1960/2646 - Add the two like fractions:
1944/2646 + 1960/2646 = 1944 + 1960/2646 = 3904/2646 - 3904/2646 simplified gives 1952/1323
- So, 36/49 + 40/54 = 1952/1323
In mixed form: 1629/1323
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