Add 18/98 and 72/35, Solve 18/98 + 2 2/35 as a fraction

Add 18/98 and 72/35

1^st number: 18/98, 2^nd number: 2 2/35

18/98 + 72/35 is 549/245.

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,
18/98 = 18 × 5/98 × 5 = 90/490
Likewise, for the 2nd fraction, since 35 × 14 = 490,
72/35 = 72 × 14/35 × 14 = 1008/490
Add the two like fractions:
90/490 + 1008/490 = 90 + 1008/490 = 1098/490
1098/490 simplified gives 549/245
So, 18/98 + 72/35 = 549/245
In mixed form: 259/245

MathStep (Works offline)

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