Add 7/27 and 63/49, Solve 7/27 + 1 14/49 as a fraction

Add 7/27 and 63/49

1^st number: 7/27, 2^nd number: 1 14/49

7/27 + 63/49 is 292/189.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 27 × 49 = 1323,
7/27 = 7 × 49/27 × 49 = 343/1323
Likewise, for the 2nd fraction, since 49 × 27 = 1323,
63/49 = 63 × 27/49 × 27 = 1701/1323
Add the two like fractions:
343/1323 + 1701/1323 = 343 + 1701/1323 = 2044/1323
2044/1323 simplified gives 292/189
So, 7/27 + 63/49 = 292/189
In mixed form: 1103/189

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