Add 27/98 and 90/35, Solve 27/98 + 2 20/35 as a fraction

Add 27/98 and 90/35

1^st number: 27/98, 2^nd number: 2 20/35

27/98 + 90/35 is 279/98.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 35 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 98 × 5 = 490,
27/98 = 27 × 5/98 × 5 = 135/490
Likewise, for the 2nd fraction, since 35 × 14 = 490,
90/35 = 90 × 14/35 × 14 = 1260/490
Add the two like fractions:
135/490 + 1260/490 = 135 + 1260/490 = 1395/490
1395/490 simplified gives 279/98
So, 27/98 + 90/35 = 279/98
In mixed form: 283/98

MathStep (Works offline)

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