Add 45/49 and 14/16
45/49 + 14/16 is 703/392.
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,
45/49 = 45 × 16/49 × 16 = 720/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
14/16 = 14 × 49/16 × 49 = 686/784 - Add the two like fractions:
720/784 + 686/784 = 720 + 686/784 = 1406/784 - 1406/784 simplified gives 703/392
- So, 45/49 + 14/16 = 703/392
In mixed form: 1311/392
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