Add 14/98 and 28/25, Solve 14/98 + 1 3/25 as a fraction

Add 14/98 and 28/25

1^st number: 14/98, 2^nd number: 1 3/25

14/98 + 28/25 is 221/175.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 25 is 2450

Next, find the equivalent fraction of both fractional numbers with denominator 2450
For the 1st fraction, since 98 × 25 = 2450,
14/98 = 14 × 25/98 × 25 = 350/2450
Likewise, for the 2nd fraction, since 25 × 98 = 2450,
28/25 = 28 × 98/25 × 98 = 2744/2450
Add the two like fractions:
350/2450 + 2744/2450 = 350 + 2744/2450 = 3094/2450
3094/2450 simplified gives 221/175
So, 14/98 + 28/25 = 221/175
In mixed form: 146/175

MathStep (Works offline)

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