Add 5/2 and 2/72, Solve 2 1/2 + 2/72 as a fraction

Add 5/2 and 2/72

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

5/2 + 2/72 is 91/36.

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,
5/2 = 5 × 36/2 × 36 = 180/72
Likewise, for the 2nd fraction, since 72 × 1 = 72,
2/72 = 2 × 1/72 × 1 = 2/72
Add the two like fractions:
180/72 + 2/72 = 180 + 2/72 = 182/72
182/72 simplified gives 91/36
So, 5/2 + 2/72 = 91/36
In mixed form: 219/36

MathStep (Works offline)

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