Add 35/14 and 5/18, Solve 2 7/14 + 5/18 as a fraction

Add 35/14 and 5/18

1^st number: 2 7/14, 2^nd number: 5/18

35/14 + 5/18 is 25/9.

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,
35/14 = 35 × 9/14 × 9 = 315/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
5/18 = 5 × 7/18 × 7 = 35/126
Add the two like fractions:
315/126 + 35/126 = 315 + 35/126 = 350/126
350/126 simplified gives 25/9
So, 35/14 + 5/18 = 25/9
In mixed form: 27/9

MathStep (Works offline)

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