Add 27/25 and 28/27, Solve 1 2/25 + 1 1/27 as a fraction

Add 27/25 and 28/27

1^st number: 1 2/25, 2^nd number: 1 1/27

27/25 + 28/27 is 1429/675.

Find the least common denominator or LCM of the two denominators:
LCM of 25 and 27 is 675

Next, find the equivalent fraction of both fractional numbers with denominator 675
For the 1st fraction, since 25 × 27 = 675,
27/25 = 27 × 27/25 × 27 = 729/675
Likewise, for the 2nd fraction, since 27 × 25 = 675,
28/27 = 28 × 25/27 × 25 = 700/675
Add the two like fractions:
729/675 + 700/675 = 729 + 700/675 = 1429/675
So, 27/25 + 28/27 = 1429/675
In mixed form: 279/675

MathStep (Works offline)

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