Add 40/56 and 42/75
40/56 + 42/75 is 223/175.
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,
40/56 = 40 × 75/56 × 75 = 3000/4200 - Likewise, for the 2nd fraction, since 75 × 56 = 4200,
42/75 = 42 × 56/75 × 56 = 2352/4200 - Add the two like fractions:
3000/4200 + 2352/4200 = 3000 + 2352/4200 = 5352/4200 - 5352/4200 simplified gives 223/175
- So, 40/56 + 42/75 = 223/175
In mixed form: 148/175
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