Add 14/49 and 35/16
1st number: 14/49, 2nd number: 2 3/16
14/49 + 35/16 is 277/112.
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,
14/49 = 14 × 16/49 × 16 = 224/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
35/16 = 35 × 49/16 × 49 = 1715/784 - Add the two like fractions:
224/784 + 1715/784 = 224 + 1715/784 = 1939/784 - 1939/784 simplified gives 277/112
- So, 14/49 + 35/16 = 277/112
In mixed form: 253/112
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