Add 40/49 and 10/16
40/49 + 10/16 is 565/392.
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,
10/16 = 10 × 49/16 × 49 = 490/784 - Add the two like fractions:
640/784 + 490/784 = 640 + 490/784 = 1130/784 - 1130/784 simplified gives 565/392
- So, 40/49 + 10/16 = 565/392
In mixed form: 1173/392
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