Add 9/4 and 27/75, Solve 2 1/4 + 27/75 as a fraction

Add 9/4 and 27/75

1^st number: 2 1/4, 2^nd number: 27/75

9/4 + 27/75 is 261/100.

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,
27/75 = 27 × 4/75 × 4 = 108/300
Add the two like fractions:
675/300 + 108/300 = 675 + 108/300 = 783/300
783/300 simplified gives 261/100
So, 9/4 + 27/75 = 261/100
In mixed form: 261/100

MathStep (Works offline)

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