Add 42/27 and 27/28, Solve 1 15/27 + 27/28 as a fraction

Add 42/27 and 27/28

1^st number: 1 15/27, 2^nd number: 27/28

42/27 + 27/28 is 635/252.

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,
42/27 = 42 × 28/27 × 28 = 1176/756
Likewise, for the 2nd fraction, since 28 × 27 = 756,
27/28 = 27 × 27/28 × 27 = 729/756
Add the two like fractions:
1176/756 + 729/756 = 1176 + 729/756 = 1905/756
1905/756 simplified gives 635/252
So, 42/27 + 27/28 = 635/252
In mixed form: 2131/252

MathStep (Works offline)

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