Add 14/9 and 25/35, Solve 1 5/9 + 25/35 as a fraction

Add 14/9 and 25/35

1^st number: 1 5/9, 2^nd number: 25/35

14/9 + 25/35 is 143/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 9 × 35 = 315,
14/9 = 14 × 35/9 × 35 = 490/315
Likewise, for the 2nd fraction, since 35 × 9 = 315,
25/35 = 25 × 9/35 × 9 = 225/315
Add the two like fractions:
490/315 + 225/315 = 490 + 225/315 = 715/315
715/315 simplified gives 143/63
So, 14/9 + 25/35 = 143/63
In mixed form: 217/63

MathStep (Works offline)

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