Add 14/49 and 56/27, Solve 14/49 + 2 2/27 as a fraction

Add 14/49 and 56/27

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

14/49 + 56/27 is 446/189.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 49 × 27 = 1323,
14/49 = 14 × 27/49 × 27 = 378/1323
Likewise, for the 2nd fraction, since 27 × 49 = 1323,
56/27 = 56 × 49/27 × 49 = 2744/1323
Add the two like fractions:
378/1323 + 2744/1323 = 378 + 2744/1323 = 3122/1323
3122/1323 simplified gives 446/189
So, 14/49 + 56/27 = 446/189
In mixed form: 268/189

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