Add 5/75 and 27/8, Solve 5/75 + 3 3/8 as a fraction

Add 5/75 and 27/8

1^st number: 5/75, 2^nd number: 3 3/8

5/75 + 27/8 is 413/120.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 8 is 600

Next, find the equivalent fraction of both fractional numbers with denominator 600
For the 1st fraction, since 75 × 8 = 600,
5/75 = 5 × 8/75 × 8 = 40/600
Likewise, for the 2nd fraction, since 8 × 75 = 600,
27/8 = 27 × 75/8 × 75 = 2025/600
Add the two like fractions:
40/600 + 2025/600 = 40 + 2025/600 = 2065/600
2065/600 simplified gives 413/120
So, 5/75 + 27/8 = 413/120
In mixed form: 353/120

MathStep (Works offline)

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