Add 40/75 and 7/12
40/75 + 7/12 is 67/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 12 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300 - Likewise, for the 2nd fraction, since 12 × 25 = 300,
7/12 = 7 × 25/12 × 25 = 175/300 - Add the two like fractions:
160/300 + 175/300 = 160 + 175/300 = 335/300 - 335/300 simplified gives 67/60
- So, 40/75 + 7/12 = 67/60
In mixed form: 17/60
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+7/12 40/75+14/12 40/75+7/24 40/75+21/12 40/75+7/36 40/75+35/12 40/75+7/60 40/75+49/12 40/75+7/84