Add 27/30 and 45/28, Solve 27/30 + 1 17/28 as a fraction

Add 27/30 and 45/28

1^st number: 27/30, 2^nd number: 1 17/28

27/30 + 45/28 is 351/140.

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,
27/30 = 27 × 14/30 × 14 = 378/420
Likewise, for the 2nd fraction, since 28 × 15 = 420,
45/28 = 45 × 15/28 × 15 = 675/420
Add the two like fractions:
378/420 + 675/420 = 378 + 675/420 = 1053/420
1053/420 simplified gives 351/140
So, 27/30 + 45/28 = 351/140
In mixed form: 271/140

MathStep (Works offline)

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