Add 30/75 and 42/9
1st number: 30/75, 2nd number: 4 6/9
30/75 + 42/9 is 76/15.
Steps for adding fractions
- 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,
30/75 = 30 × 3/75 × 3 = 90/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
42/9 = 42 × 25/9 × 25 = 1050/225 - Add the two like fractions:
90/225 + 1050/225 = 90 + 1050/225 = 1140/225 - 1140/225 simplified gives 76/15
- So, 30/75 + 42/9 = 76/15
In mixed form: 51/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75+42/9 30/75+84/9 30/75+42/18 90/75+42/9 30/75+42/27 30/75+42/45 30/75+42/63