Add 54/75 and 7/5, Solve 54/75 + 1 2/5 as a fraction

Add 54/75 and 7/5

1^st number: 54/75, 2^nd number: 1 2/5

54/75 + 7/5 is 53/25.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 5 is 75

Next, find the equivalent fraction of both fractional numbers with denominator 75
For the 1st fraction, since 75 × 1 = 75,
54/75 = 54 × 1/75 × 1 = 54/75
Likewise, for the 2nd fraction, since 5 × 15 = 75,
7/5 = 7 × 15/5 × 15 = 105/75
Add the two like fractions:
54/75 + 105/75 = 54 + 105/75 = 159/75
159/75 simplified gives 53/25
So, 54/75 + 7/5 = 53/25
In mixed form: 23/25

MathStep (Works offline)

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