Add 45/54 and 42/9, Solve 45/54 + 4 6/9 as a fraction

Add 45/54 and 42/9

1^st number: 45/54, 2^nd number: 4 6/9

45/54 + 42/9 is 11/2.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 9 is 54

Next, find the equivalent fraction of both fractional numbers with denominator 54
For the 1st fraction, since 54 × 1 = 54,
45/54 = 45 × 1/54 × 1 = 45/54
Likewise, for the 2nd fraction, since 9 × 6 = 54,
42/9 = 42 × 6/9 × 6 = 252/54
Add the two like fractions:
45/54 + 252/54 = 45 + 252/54 = 297/54
297/54 simplified gives 11/2
So, 45/54 + 42/9 = 11/2
In mixed form: 51/2

MathStep (Works offline)

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