Add 20/35 and 28/9, Solve 20/35 + 3 1/9 as a fraction

Add 20/35 and 28/9

1^st number: 20/35, 2^nd number: 3 1/9

20/35 + 28/9 is 232/63.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 35 × 9 = 315,
20/35 = 20 × 9/35 × 9 = 180/315
Likewise, for the 2nd fraction, since 9 × 35 = 315,
28/9 = 28 × 35/9 × 35 = 980/315
Add the two like fractions:
180/315 + 980/315 = 180 + 980/315 = 1160/315
1160/315 simplified gives 232/63
So, 20/35 + 28/9 = 232/63
In mixed form: 343/63

MathStep (Works offline)

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