Add 7/98 and 21/4, Solve 7/98 + 5 1/4 as a fraction

Add 7/98 and 21/4

1^st number: 7/98, 2^nd number: 5 1/4

7/98 + 21/4 is 149/28.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 4 is 196

Next, find the equivalent fraction of both fractional numbers with denominator 196
For the 1st fraction, since 98 × 2 = 196,
7/98 = 7 × 2/98 × 2 = 14/196
Likewise, for the 2nd fraction, since 4 × 49 = 196,
21/4 = 21 × 49/4 × 49 = 1029/196
Add the two like fractions:
14/196 + 1029/196 = 14 + 1029/196 = 1043/196
1043/196 simplified gives 149/28
So, 7/98 + 21/4 = 149/28
In mixed form: 59/28

MathStep (Works offline)

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