Add 40/54 and 42/56
40/54 + 42/56 is 161/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 54 × 28 = 1512,
40/54 = 40 × 28/54 × 28 = 1120/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
42/56 = 42 × 27/56 × 27 = 1134/1512 - Add the two like fractions:
1120/1512 + 1134/1512 = 1120 + 1134/1512 = 2254/1512 - 2254/1512 simplified gives 161/108
- So, 40/54 + 42/56 = 161/108
In mixed form: 153/108
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