Add 35/49 and 49/16
1st number: 35/49, 2nd number: 3 1/16
35/49 + 49/16 is 423/112.
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,
35/49 = 35 × 16/49 × 16 = 560/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
49/16 = 49 × 49/16 × 49 = 2401/784 - Add the two like fractions:
560/784 + 2401/784 = 560 + 2401/784 = 2961/784 - 2961/784 simplified gives 423/112
- So, 35/49 + 49/16 = 423/112
In mixed form: 387/112
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