Add 8/98 and 75/27, Solve 8/98 + 2 21/27 as a fraction

Add 8/98 and 75/27

1^st number: 8/98, 2^nd number: 2 21/27

8/98 + 75/27 is 1261/441.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 27 is 2646

Next, find the equivalent fraction of both fractional numbers with denominator 2646
For the 1st fraction, since 98 × 27 = 2646,
8/98 = 8 × 27/98 × 27 = 216/2646
Likewise, for the 2nd fraction, since 27 × 98 = 2646,
75/27 = 75 × 98/27 × 98 = 7350/2646
Add the two like fractions:
216/2646 + 7350/2646 = 216 + 7350/2646 = 7566/2646
7566/2646 simplified gives 1261/441
So, 8/98 + 75/27 = 1261/441
In mixed form: 2379/441

MathStep (Works offline)

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