Add 14/49 and 49/56
14/49 + 49/56 is 65/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 56 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 49 × 8 = 392,
14/49 = 14 × 8/49 × 8 = 112/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
49/56 = 49 × 7/56 × 7 = 343/392 - Add the two like fractions:
112/392 + 343/392 = 112 + 343/392 = 455/392 - 455/392 simplified gives 65/56
- So, 14/49 + 49/56 = 65/56
In mixed form: 19/56
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