Add 14/4 and 9/54, Solve 3 2/4 + 9/54 as a fraction

Add 14/4 and 9/54

1^st number: 3 2/4, 2^nd number: 9/54

14/4 + 9/54 is 11/3.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 54 is 108

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 4 × 27 = 108,
14/4 = 14 × 27/4 × 27 = 378/108
Likewise, for the 2nd fraction, since 54 × 2 = 108,
9/54 = 9 × 2/54 × 2 = 18/108
Add the two like fractions:
378/108 + 18/108 = 378 + 18/108 = 396/108
396/108 simplified gives 11/3
So, 14/4 + 9/54 = 11/3
In mixed form: 32/3

MathStep (Works offline)

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