Add 40/49 and 12/16
40/49 + 12/16 is 307/196.
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,
12/16 = 12 × 49/16 × 49 = 588/784 - Add the two like fractions:
640/784 + 588/784 = 640 + 588/784 = 1228/784 - 1228/784 simplified gives 307/196
- So, 40/49 + 12/16 = 307/196
In mixed form: 1111/196
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