Add 7/18 and 14/8, Solve 7/18 + 1 6/8 as a fraction

Add 7/18 and 14/8

1^st number: 7/18, 2^nd number: 1 6/8

7/18 + 14/8 is 77/36.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 8 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 18 × 4 = 72,
7/18 = 7 × 4/18 × 4 = 28/72
Likewise, for the 2nd fraction, since 8 × 9 = 72,
14/8 = 14 × 9/8 × 9 = 126/72
Add the two like fractions:
28/72 + 126/72 = 28 + 126/72 = 154/72
154/72 simplified gives 77/36
So, 7/18 + 14/8 = 77/36
In mixed form: 25/36

MathStep (Works offline)

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