Add 49/14 and 28/75
1st number: 3 7/14, 2nd number: 28/75
49/14 + 28/75 is 581/150.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 14 × 75 = 1050,
49/14 = 49 × 75/14 × 75 = 3675/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
28/75 = 28 × 14/75 × 14 = 392/1050 - Add the two like fractions:
3675/1050 + 392/1050 = 3675 + 392/1050 = 4067/1050 - 4067/1050 simplified gives 581/150
- So, 49/14 + 28/75 = 581/150
In mixed form: 3131/150
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