Add 36/98 and 25/21, Solve 36/98 + 1 4/21 as a fraction

Add 36/98 and 25/21

1^st number: 36/98, 2^nd number: 1 4/21

36/98 + 25/21 is 229/147.

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,
36/98 = 36 × 3/98 × 3 = 108/294
Likewise, for the 2nd fraction, since 21 × 14 = 294,
25/21 = 25 × 14/21 × 14 = 350/294
Add the two like fractions:
108/294 + 350/294 = 108 + 350/294 = 458/294
458/294 simplified gives 229/147
So, 36/98 + 25/21 = 229/147
In mixed form: 182/147

MathStep (Works offline)

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