Add 36/35 and 8/18, Solve 1 1/35 + 8/18 as a fraction

Add 36/35 and 8/18

1^st number: 1 1/35, 2^nd number: 8/18

36/35 + 8/18 is 464/315.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 18 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 35 × 18 = 630,
36/35 = 36 × 18/35 × 18 = 648/630
Likewise, for the 2nd fraction, since 18 × 35 = 630,
8/18 = 8 × 35/18 × 35 = 280/630
Add the two like fractions:
648/630 + 280/630 = 648 + 280/630 = 928/630
928/630 simplified gives 464/315
So, 36/35 + 8/18 = 464/315
In mixed form: 1149/315

MathStep (Works offline)

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