Add 10/12 and 30/75
10/12 + 30/75 is 37/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 12 × 25 = 300,
10/12 = 10 × 25/12 × 25 = 250/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
30/75 = 30 × 4/75 × 4 = 120/300 - Add the two like fractions:
250/300 + 120/300 = 250 + 120/300 = 370/300 - 370/300 simplified gives 37/30
- So, 10/12 + 30/75 = 37/30
In mixed form: 17/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/12+30/75 10/12+60/75 10/24+30/75 30/12+30/75 10/12+90/75 10/36+30/75 50/12+30/75 10/60+30/75 70/12+30/75 10/84+30/75