Add 14/5 and 98/49, Solve 2 4/5 + 2 0/49 as a fraction

Add 14/5 and 98/49

1^st number: 2 4/5, 2^nd number: 2 0/49

14/5 + 98/49 is 24/5.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245

Next, find the equivalent fraction of both fractional numbers with denominator 245
For the 1st fraction, since 5 × 49 = 245,
14/5 = 14 × 49/5 × 49 = 686/245
Likewise, for the 2nd fraction, since 49 × 5 = 245,
98/49 = 98 × 5/49 × 5 = 490/245
Add the two like fractions:
686/245 + 490/245 = 686 + 490/245 = 1176/245
1176/245 simplified gives 24/5
So, 14/5 + 98/49 = 24/5
In mixed form: 44/5

MathStep (Works offline)

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