Add 42/56 and 40/75
42/56 + 40/75 is 77/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 75 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 56 × 75 = 4200,
42/56 = 42 × 75/56 × 75 = 3150/4200 - Likewise, for the 2nd fraction, since 75 × 56 = 4200,
40/75 = 40 × 56/75 × 56 = 2240/4200 - Add the two like fractions:
3150/4200 + 2240/4200 = 3150 + 2240/4200 = 5390/4200 - 5390/4200 simplified gives 77/60
- So, 42/56 + 40/75 = 77/60
In mixed form: 117/60
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