Add 8/35 and 56/36, Solve 8/35 + 1 20/36 as a fraction

Add 8/35 and 56/36

1^st number: 8/35, 2^nd number: 1 20/36

8/35 + 56/36 is 562/315.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 36 is 1260

Next, find the equivalent fraction of both fractional numbers with denominator 1260
For the 1st fraction, since 35 × 36 = 1260,
8/35 = 8 × 36/35 × 36 = 288/1260
Likewise, for the 2nd fraction, since 36 × 35 = 1260,
56/36 = 56 × 35/36 × 35 = 1960/1260
Add the two like fractions:
288/1260 + 1960/1260 = 288 + 1960/1260 = 2248/1260
2248/1260 simplified gives 562/315
So, 8/35 + 56/36 = 562/315
In mixed form: 1247/315

MathStep (Works offline)

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