Add 9/4 and 18/75, Solve 2 1/4 + 18/75 as a fraction

Add 9/4 and 18/75

1^st number: 2 1/4, 2^nd number: 18/75

9/4 + 18/75 is 249/100.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 75 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 4 × 75 = 300,
9/4 = 9 × 75/4 × 75 = 675/300
Likewise, for the 2nd fraction, since 75 × 4 = 300,
18/75 = 18 × 4/75 × 4 = 72/300
Add the two like fractions:
675/300 + 72/300 = 675 + 72/300 = 747/300
747/300 simplified gives 249/100
So, 9/4 + 18/75 = 249/100
In mixed form: 249/100

MathStep (Works offline)

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