Add 40/56 and 70/75
40/56 + 70/75 is 173/105.
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,
70/75 = 70 × 56/75 × 56 = 3920/4200 - Add the two like fractions:
3000/4200 + 3920/4200 = 3000 + 3920/4200 = 6920/4200 - 6920/4200 simplified gives 173/105
- So, 40/56 + 70/75 = 173/105
In mixed form: 168/105
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