Add 30/20 and 27/84, Solve 1 10/20 + 27/84 as a fraction

Add 30/20 and 27/84

1^st number: 1 10/20, 2^nd number: 27/84

30/20 + 27/84 is 51/28.

Find the least common denominator or LCM of the two denominators:
LCM of 20 and 84 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 20 × 21 = 420,
30/20 = 30 × 21/20 × 21 = 630/420
Likewise, for the 2nd fraction, since 84 × 5 = 420,
27/84 = 27 × 5/84 × 5 = 135/420
Add the two like fractions:
630/420 + 135/420 = 630 + 135/420 = 765/420
765/420 simplified gives 51/28
So, 30/20 + 27/84 = 51/28
In mixed form: 123/28

MathStep (Works offline)

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