Add 35/21 and 10/18, Solve 1 14/21 + 10/18 as a fraction

Add 35/21 and 10/18

1^st number: 1 14/21, 2^nd number: 10/18

35/21 + 10/18 is 20/9.

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

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 21 × 6 = 126,
35/21 = 35 × 6/21 × 6 = 210/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
10/18 = 10 × 7/18 × 7 = 70/126
Add the two like fractions:
210/126 + 70/126 = 210 + 70/126 = 280/126
280/126 simplified gives 20/9
So, 35/21 + 10/18 = 20/9
In mixed form: 22/9

MathStep (Works offline)

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