Add 45/27 and 21/28, Solve 1 18/27 + 21/28 as a fraction

Add 45/27 and 21/28

1^st number: 1 18/27, 2^nd number: 21/28

45/27 + 21/28 is 29/12.

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,
45/27 = 45 × 28/27 × 28 = 1260/756
Likewise, for the 2nd fraction, since 28 × 27 = 756,
21/28 = 21 × 27/28 × 27 = 567/756
Add the two like fractions:
1260/756 + 567/756 = 1260 + 567/756 = 1827/756
1827/756 simplified gives 29/12
So, 45/27 + 21/28 = 29/12
In mixed form: 25/12

MathStep (Works offline)

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