Add 40/49 and 49/16
1st number: 40/49, 2nd number: 3 1/16
40/49 + 49/16 is 3041/784.
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,
40/49 = 40 × 16/49 × 16 = 640/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
49/16 = 49 × 49/16 × 49 = 2401/784 - Add the two like fractions:
640/784 + 2401/784 = 640 + 2401/784 = 3041/784 - So, 40/49 + 49/16 = 3041/784
In mixed form: 3689/784
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