Add 45/2 and 3/27, Solve 22 1/2 + 3/27 as a fraction

Add 45/2 and 3/27

1^st number: 22 1/2, 2^nd number: 3/27

45/2 + 3/27 is 407/18.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 27 is 54

Next, find the equivalent fraction of both fractional numbers with denominator 54
For the 1st fraction, since 2 × 27 = 54,
45/2 = 45 × 27/2 × 27 = 1215/54
Likewise, for the 2nd fraction, since 27 × 2 = 54,
3/27 = 3 × 2/27 × 2 = 6/54
Add the two like fractions:
1215/54 + 6/54 = 1215 + 6/54 = 1221/54
1221/54 simplified gives 407/18
So, 45/2 + 3/27 = 407/18
In mixed form: 2211/18

MathStep (Works offline)

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