Add 14/9 and 7/14, Solve 1 5/9 + 7/14 as a fraction

Add 14/9 and 7/14

1^st number: 1 5/9, 2^nd number: 7/14

14/9 + 7/14 is 37/18.

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

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
14/9 = 14 × 14/9 × 14 = 196/126
Likewise, for the 2nd fraction, since 14 × 9 = 126,
7/14 = 7 × 9/14 × 9 = 63/126
Add the two like fractions:
196/126 + 63/126 = 196 + 63/126 = 259/126
259/126 simplified gives 37/18
So, 14/9 + 7/14 = 37/18
In mixed form: 21/18

MathStep (Works offline)

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