Add 45/98 and 27/5, Solve 45/98 + 5 2/5 as a fraction

Add 45/98 and 27/5

1^st number: 45/98, 2^nd number: 5 2/5

45/98 + 27/5 is 2871/490.

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,
45/98 = 45 × 5/98 × 5 = 225/490
Likewise, for the 2nd fraction, since 5 × 98 = 490,
27/5 = 27 × 98/5 × 98 = 2646/490
Add the two like fractions:
225/490 + 2646/490 = 225 + 2646/490 = 2871/490
So, 45/98 + 27/5 = 2871/490
In mixed form: 5421/490

MathStep (Works offline)

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