Add 21/14 and 21/9, Solve 1 7/14 + 2 3/9 as a fraction

Add 21/14 and 21/9

1^st number: 1 7/14, 2^nd number: 2 3/9

21/14 + 21/9 is 23/6.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
21/14 = 21 × 9/14 × 9 = 189/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
21/9 = 21 × 14/9 × 14 = 294/126
Add the two like fractions:
189/126 + 294/126 = 189 + 294/126 = 483/126
483/126 simplified gives 23/6
So, 21/14 + 21/9 = 23/6
In mixed form: 35/6

MathStep (Works offline)

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