Add 5/30 and 45/28, Solve 5/30 + 1 17/28 as a fraction

Add 5/30 and 45/28

1^st number: 5/30, 2^nd number: 1 17/28

5/30 + 45/28 is 149/84.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 30 × 14 = 420,
5/30 = 5 × 14/30 × 14 = 70/420
Likewise, for the 2nd fraction, since 28 × 15 = 420,
45/28 = 45 × 15/28 × 15 = 675/420
Add the two like fractions:
70/420 + 675/420 = 70 + 675/420 = 745/420
745/420 simplified gives 149/84
So, 5/30 + 45/28 = 149/84
In mixed form: 165/84

MathStep (Works offline)

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