Add 2/27 and 50/28, Solve 2/27 + 1 22/28 as a fraction

Add 2/27 and 50/28

1^st number: 2/27, 2^nd number: 1 22/28

2/27 + 50/28 is 703/378.

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,
2/27 = 2 × 28/27 × 28 = 56/756
Likewise, for the 2nd fraction, since 28 × 27 = 756,
50/28 = 50 × 27/28 × 27 = 1350/756
Add the two like fractions:
56/756 + 1350/756 = 56 + 1350/756 = 1406/756
1406/756 simplified gives 703/378
So, 2/27 + 50/28 = 703/378
In mixed form: 1325/378

MathStep (Works offline)

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