Add 6/18 and 18/7, Solve 6/18 + 2 4/7 as a fraction

Add 6/18 and 18/7

1^st number: 6/18, 2^nd number: 2 4/7

6/18 + 18/7 is 61/21.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 7 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
6/18 = 6 × 7/18 × 7 = 42/126
Likewise, for the 2nd fraction, since 7 × 18 = 126,
18/7 = 18 × 18/7 × 18 = 324/126
Add the two like fractions:
42/126 + 324/126 = 42 + 324/126 = 366/126
366/126 simplified gives 61/21
So, 6/18 + 18/7 = 61/21
In mixed form: 219/21

MathStep (Works offline)

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