Add 4/27 and 42/28, Solve 4/27 + 1 14/28 as a fraction

Add 4/27 and 42/28

1^st number: 4/27, 2^nd number: 1 14/28

4/27 + 42/28 is 89/54.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 28 is 756

Next, find the equivalent fraction of both fractional numbers with denominator 756
For the 1st fraction, since 27 × 28 = 756,
4/27 = 4 × 28/27 × 28 = 112/756
Likewise, for the 2nd fraction, since 28 × 27 = 756,
42/28 = 42 × 27/28 × 27 = 1134/756
Add the two like fractions:
112/756 + 1134/756 = 112 + 1134/756 = 1246/756
1246/756 simplified gives 89/54
So, 4/27 + 42/28 = 89/54
In mixed form: 135/54

MathStep (Works offline)

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