Add 4/98 and 21/5, Solve 4/98 + 4 1/5 as a fraction

Add 4/98 and 21/5

1^st number: 4/98, 2^nd number: 4 1/5

4/98 + 21/5 is 1039/245.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 5 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 98 × 5 = 490,
4/98 = 4 × 5/98 × 5 = 20/490
Likewise, for the 2nd fraction, since 5 × 98 = 490,
21/5 = 21 × 98/5 × 98 = 2058/490
Add the two like fractions:
20/490 + 2058/490 = 20 + 2058/490 = 2078/490
2078/490 simplified gives 1039/245
So, 4/98 + 21/5 = 1039/245
In mixed form: 459/245

MathStep (Works offline)

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