Add 10/12 and 40/75
10/12 + 40/75 is 41/30.
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,
40/75 = 40 × 4/75 × 4 = 160/300 - Add the two like fractions:
250/300 + 160/300 = 250 + 160/300 = 410/300 - 410/300 simplified gives 41/30
- So, 10/12 + 40/75 = 41/30
In mixed form: 111/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/12+40/75 10/12+80/75 10/24+40/75 30/12+40/75 10/36+40/75 50/12+40/75 10/60+40/75 70/12+40/75 10/84+40/75