Add 10/54 and 45/4, Solve 10/54 + 11 1/4 as a fraction

Add 10/54 and 45/4

1^st number: 10/54, 2^nd number: 11 1/4

10/54 + 45/4 is 1235/108.

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

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 54 × 2 = 108,
10/54 = 10 × 2/54 × 2 = 20/108
Likewise, for the 2nd fraction, since 4 × 27 = 108,
45/4 = 45 × 27/4 × 27 = 1215/108
Add the two like fractions:
20/108 + 1215/108 = 20 + 1215/108 = 1235/108
So, 10/54 + 45/4 = 1235/108
In mixed form: 1147/108

MathStep (Works offline)

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