Add 35/98 and 24/21, Solve 35/98 + 1 3/21 as a fraction

Add 35/98 and 24/21

1^st number: 35/98, 2^nd number: 1 3/21

35/98 + 24/21 is 3/2.

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,
35/98 = 35 × 3/98 × 3 = 105/294
Likewise, for the 2nd fraction, since 21 × 14 = 294,
24/21 = 24 × 14/21 × 14 = 336/294
Add the two like fractions:
105/294 + 336/294 = 105 + 336/294 = 441/294
441/294 simplified gives 3/2
So, 35/98 + 24/21 = 3/2
In mixed form: 11/2

MathStep (Works offline)

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