Add 3/49 and 40/54
3/49 + 40/54 is 1061/1323.
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,
3/49 = 3 × 54/49 × 54 = 162/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
40/54 = 40 × 49/54 × 49 = 1960/2646 - Add the two like fractions:
162/2646 + 1960/2646 = 162 + 1960/2646 = 2122/2646 - 2122/2646 simplified gives 1061/1323
- So, 3/49 + 40/54 = 1061/1323
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