Add 54/75 and 75/45, Solve 54/75 + 1 30/45 as a fraction

Add 54/75 and 75/45

1^st number: 54/75, 2^nd number: 1 30/45

54/75 + 75/45 is 179/75.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 45 is 225

Next, find the equivalent fraction of both fractional numbers with denominator 225
For the 1st fraction, since 75 × 3 = 225,
54/75 = 54 × 3/75 × 3 = 162/225
Likewise, for the 2nd fraction, since 45 × 5 = 225,
75/45 = 75 × 5/45 × 5 = 375/225
Add the two like fractions:
162/225 + 375/225 = 162 + 375/225 = 537/225
537/225 simplified gives 179/75
So, 54/75 + 75/45 = 179/75
In mixed form: 229/75

MathStep (Works offline)

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