Add 9/4 and 36/96, Solve 2 1/4 + 36/96 as a fraction

Add 9/4 and 36/96

1^st number: 2 1/4, 2^nd number: 36/96

9/4 + 36/96 is 21/8.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 96 is 96

Next, find the equivalent fraction of both fractional numbers with denominator 96
For the 1st fraction, since 4 × 24 = 96,
9/4 = 9 × 24/4 × 24 = 216/96
Likewise, for the 2nd fraction, since 96 × 1 = 96,
36/96 = 36 × 1/96 × 1 = 36/96
Add the two like fractions:
216/96 + 36/96 = 216 + 36/96 = 252/96
252/96 simplified gives 21/8
So, 9/4 + 36/96 = 21/8
In mixed form: 25/8

MathStep (Works offline)

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