Add 27/2 and 5/75, Solve 13 1/2 + 5/75 as a fraction

Add 27/2 and 5/75

1^st number: 13 1/2, 2^nd number: 5/75

27/2 + 5/75 is 407/30.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 75 is 150

Next, find the equivalent fraction of both fractional numbers with denominator 150
For the 1st fraction, since 2 × 75 = 150,
27/2 = 27 × 75/2 × 75 = 2025/150
Likewise, for the 2nd fraction, since 75 × 2 = 150,
5/75 = 5 × 2/75 × 2 = 10/150
Add the two like fractions:
2025/150 + 10/150 = 2025 + 10/150 = 2035/150
2035/150 simplified gives 407/30
So, 27/2 + 5/75 = 407/30
In mixed form: 1317/30

MathStep (Works offline)

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