Add 18/27 and 10/7, Solve 18/27 + 1 3/7 as a fraction

Add 18/27 and 10/7

1^st number: 18/27, 2^nd number: 1 3/7

18/27 + 10/7 is 44/21.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 27 × 7 = 189,
18/27 = 18 × 7/27 × 7 = 126/189
Likewise, for the 2nd fraction, since 7 × 27 = 189,
10/7 = 10 × 27/7 × 27 = 270/189
Add the two like fractions:
126/189 + 270/189 = 126 + 270/189 = 396/189
396/189 simplified gives 44/21
So, 18/27 + 10/7 = 44/21
In mixed form: 22/21

MathStep (Works offline)

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