Add 30/14 and 15/18, Solve 2 2/14 + 15/18 as a fraction

Add 30/14 and 15/18

1^st number: 2 2/14, 2^nd number: 15/18

30/14 + 15/18 is 125/42.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 18 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
30/14 = 30 × 9/14 × 9 = 270/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
15/18 = 15 × 7/18 × 7 = 105/126
Add the two like fractions:
270/126 + 105/126 = 270 + 105/126 = 375/126
375/126 simplified gives 125/42
So, 30/14 + 15/18 = 125/42
In mixed form: 241/42

MathStep (Works offline)

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