Add 14/49 and 21/16
1st number: 14/49, 2nd number: 1 5/16
14/49 + 21/16 is 179/112.
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,
21/16 = 21 × 49/16 × 49 = 1029/784 - Add the two like fractions:
224/784 + 1029/784 = 224 + 1029/784 = 1253/784 - 1253/784 simplified gives 179/112
- So, 14/49 + 21/16 = 179/112
In mixed form: 167/112
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