Add 96/98 and 14/21, Solve 96/98 + 14/21 as a fraction

Add 96/98 and 14/21

96/98 + 14/21 is 242/147.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 21 is 294

Next, find the equivalent fraction of both fractional numbers with denominator 294
For the 1st fraction, since 98 × 3 = 294,
96/98 = 96 × 3/98 × 3 = 288/294
Likewise, for the 2nd fraction, since 21 × 14 = 294,
14/21 = 14 × 14/21 × 14 = 196/294
Add the two like fractions:
288/294 + 196/294 = 288 + 196/294 = 484/294
484/294 simplified gives 242/147
So, 96/98 + 14/21 = 242/147
In mixed form: 195/147

MathStep (Works offline)

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