Add 30/21 and 30/27, Solve 1 9/21 + 1 3/27 as a fraction

Add 30/21 and 30/27

1^st number: 1 9/21, 2^nd number: 1 3/27

30/21 + 30/27 is 160/63.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 21 × 9 = 189,
30/21 = 30 × 9/21 × 9 = 270/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
30/27 = 30 × 7/27 × 7 = 210/189
Add the two like fractions:
270/189 + 210/189 = 270 + 210/189 = 480/189
480/189 simplified gives 160/63
So, 30/21 + 30/27 = 160/63
In mixed form: 234/63

MathStep (Works offline)

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