Add 28/49 and 35/16
1st number: 28/49, 2nd number: 2 3/16
28/49 + 35/16 is 309/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
28/49 = 28 × 16/49 × 16 = 448/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
35/16 = 35 × 49/16 × 49 = 1715/784 - Add the two like fractions:
448/784 + 1715/784 = 448 + 1715/784 = 2163/784 - 2163/784 simplified gives 309/112
- So, 28/49 + 35/16 = 309/112
In mixed form: 285/112
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