Add 3/2 and 45/72, Solve 1 1/2 + 45/72 as a fraction

Add 3/2 and 45/72

1^st number: 1 1/2, 2^nd number: 45/72

3/2 + 45/72 is 17/8.

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,
3/2 = 3 × 36/2 × 36 = 108/72
Likewise, for the 2nd fraction, since 72 × 1 = 72,
45/72 = 45 × 1/72 × 1 = 45/72
Add the two like fractions:
108/72 + 45/72 = 108 + 45/72 = 153/72
153/72 simplified gives 17/8
So, 3/2 + 45/72 = 17/8
In mixed form: 21/8

MathStep (Works offline)

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