Add 14/49 and 50/27, Solve 14/49 + 1 23/27 as a fraction

Add 14/49 and 50/27

1^st number: 14/49, 2^nd number: 1 23/27

14/49 + 50/27 is 404/189.

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,
50/27 = 50 × 49/27 × 49 = 2450/1323
Add the two like fractions:
378/1323 + 2450/1323 = 378 + 2450/1323 = 2828/1323
2828/1323 simplified gives 404/189
So, 14/49 + 50/27 = 404/189
In mixed form: 226/189

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad