Add 1/75 and 30/9, Solve 1/75 + 3 3/9 as a fraction

Add 1/75 and 30/9

1^st number: 1/75, 2^nd number: 3 3/9

1/75 + 30/9 is 251/75.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 is 225

Next, find the equivalent fraction of both fractional numbers with denominator 225
For the 1st fraction, since 75 × 3 = 225,
1/75 = 1 × 3/75 × 3 = 3/225
Likewise, for the 2nd fraction, since 9 × 25 = 225,
30/9 = 30 × 25/9 × 25 = 750/225
Add the two like fractions:
3/225 + 750/225 = 3 + 750/225 = 753/225
753/225 simplified gives 251/75
So, 1/75 + 30/9 = 251/75
In mixed form: 326/75

MathStep (Works offline)

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