Add 36/98 and 84/28, Solve 36/98 + 3 0/28 as a fraction

Add 36/98 and 84/28

1^st number: 36/98, 2^nd number: 3 0/28

36/98 + 84/28 is 165/49.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 28 is 196

Next, find the equivalent fraction of both fractional numbers with denominator 196
For the 1st fraction, since 98 × 2 = 196,
36/98 = 36 × 2/98 × 2 = 72/196
Likewise, for the 2nd fraction, since 28 × 7 = 196,
84/28 = 84 × 7/28 × 7 = 588/196
Add the two like fractions:
72/196 + 588/196 = 72 + 588/196 = 660/196
660/196 simplified gives 165/49
So, 36/98 + 84/28 = 165/49
In mixed form: 318/49

MathStep (Works offline)

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