Add 49/56 and 70/75
49/56 + 70/75 is 217/120.
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,
49/56 = 49 × 75/56 × 75 = 3675/4200 - Likewise, for the 2nd fraction, since 75 × 56 = 4200,
70/75 = 70 × 56/75 × 56 = 3920/4200 - Add the two like fractions:
3675/4200 + 3920/4200 = 3675 + 3920/4200 = 7595/4200 - 7595/4200 simplified gives 217/120
- So, 49/56 + 70/75 = 217/120
In mixed form: 197/120
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