Add 7/2 and 98/72, Solve 3 1/2 + 1 26/72 as a fraction

Add 7/2 and 98/72

1^st number: 3 1/2, 2^nd number: 1 26/72

7/2 + 98/72 is 175/36.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 72 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 2 × 36 = 72,
7/2 = 7 × 36/2 × 36 = 252/72
Likewise, for the 2nd fraction, since 72 × 1 = 72,
98/72 = 98 × 1/72 × 1 = 98/72
Add the two like fractions:
252/72 + 98/72 = 252 + 98/72 = 350/72
350/72 simplified gives 175/36
So, 7/2 + 98/72 = 175/36
In mixed form: 431/36

MathStep (Works offline)

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