Add 70/75 and 35/56
70/75 + 35/56 is 187/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 75 × 56 = 4200,
70/75 = 70 × 56/75 × 56 = 3920/4200 - Likewise, for the 2nd fraction, since 56 × 75 = 4200,
35/56 = 35 × 75/56 × 75 = 2625/4200 - Add the two like fractions:
3920/4200 + 2625/4200 = 3920 + 2625/4200 = 6545/4200 - 6545/4200 simplified gives 187/120
- So, 70/75 + 35/56 = 187/120
In mixed form: 167/120
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