Add 3/2 and 45/48, Solve 1 1/2 + 45/48 as a fraction

Add 3/2 and 45/48

1^st number: 1 1/2, 2^nd number: 45/48

3/2 + 45/48 is 39/16.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 48 is 48

Next, find the equivalent fraction of both fractional numbers with denominator 48
For the 1st fraction, since 2 × 24 = 48,
3/2 = 3 × 24/2 × 24 = 72/48
Likewise, for the 2nd fraction, since 48 × 1 = 48,
45/48 = 45 × 1/48 × 1 = 45/48
Add the two like fractions:
72/48 + 45/48 = 72 + 45/48 = 117/48
117/48 simplified gives 39/16
So, 3/2 + 45/48 = 39/16
In mixed form: 27/16

MathStep (Works offline)

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