Add 30/27 and 9/28, Solve 1 3/27 + 9/28 as a fraction

Add 30/27 and 9/28

1^st number: 1 3/27, 2^nd number: 9/28

30/27 + 9/28 is 361/252.

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,
30/27 = 30 × 28/27 × 28 = 840/756
Likewise, for the 2nd fraction, since 28 × 27 = 756,
9/28 = 9 × 27/28 × 27 = 243/756
Add the two like fractions:
840/756 + 243/756 = 840 + 243/756 = 1083/756
1083/756 simplified gives 361/252
So, 30/27 + 9/28 = 361/252
In mixed form: 1109/252

MathStep (Works offline)

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