Add 14/35 and 75/30, Solve 14/35 + 2 15/30 as a fraction

Add 14/35 and 75/30

1^st number: 14/35, 2^nd number: 2 15/30

14/35 + 75/30 is 29/10.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 30 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 35 × 6 = 210,
14/35 = 14 × 6/35 × 6 = 84/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
75/30 = 75 × 7/30 × 7 = 525/210
Add the two like fractions:
84/210 + 525/210 = 84 + 525/210 = 609/210
609/210 simplified gives 29/10
So, 14/35 + 75/30 = 29/10
In mixed form: 29/10

MathStep (Works offline)

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