Add 14/25 and 98/35, Solve 14/25 + 2 28/35 as a fraction

Add 14/25 and 98/35

1^st number: 14/25, 2^nd number: 2 28/35

14/25 + 98/35 is 84/25.

Find the least common denominator or LCM of the two denominators:
LCM of 25 and 35 is 175

Next, find the equivalent fraction of both fractional numbers with denominator 175
For the 1st fraction, since 25 × 7 = 175,
14/25 = 14 × 7/25 × 7 = 98/175
Likewise, for the 2nd fraction, since 35 × 5 = 175,
98/35 = 98 × 5/35 × 5 = 490/175
Add the two like fractions:
98/175 + 490/175 = 98 + 490/175 = 588/175
588/175 simplified gives 84/25
So, 14/25 + 98/35 = 84/25
In mixed form: 39/25

MathStep (Works offline)

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