Add 27/48 and 16/7, Solve 27/48 + 2 2/7 as a fraction

Add 27/48 and 16/7

1^st number: 27/48, 2^nd number: 2 2/7

27/48 + 16/7 is 319/112.

Find the least common denominator or LCM of the two denominators:
LCM of 48 and 7 is 336

Next, find the equivalent fraction of both fractional numbers with denominator 336
For the 1st fraction, since 48 × 7 = 336,
27/48 = 27 × 7/48 × 7 = 189/336
Likewise, for the 2nd fraction, since 7 × 48 = 336,
16/7 = 16 × 48/7 × 48 = 768/336
Add the two like fractions:
189/336 + 768/336 = 189 + 768/336 = 957/336
957/336 simplified gives 319/112
So, 27/48 + 16/7 = 319/112
In mixed form: 295/112

MathStep (Works offline)

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