Add 20/18 and 14/21, Solve 1 2/18 + 14/21 as a fraction

Add 20/18 and 14/21

1^st number: 1 2/18, 2^nd number: 14/21

20/18 + 14/21 is 16/9.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
20/18 = 20 × 7/18 × 7 = 140/126
Likewise, for the 2nd fraction, since 21 × 6 = 126,
14/21 = 14 × 6/21 × 6 = 84/126
Add the two like fractions:
140/126 + 84/126 = 140 + 84/126 = 224/126
224/126 simplified gives 16/9
So, 20/18 + 14/21 = 16/9
In mixed form: 17/9

MathStep (Works offline)

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