Add 49/21 and 14/16
1st number: 2 7/21, 2nd number: 14/16
49/21 + 14/16 is 77/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 21 × 16 = 336,
49/21 = 49 × 16/21 × 16 = 784/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
14/16 = 14 × 21/16 × 21 = 294/336 - Add the two like fractions:
784/336 + 294/336 = 784 + 294/336 = 1078/336 - 1078/336 simplified gives 77/24
- So, 49/21 + 14/16 = 77/24
In mixed form: 35/24
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