Add 40/75 and 7/9
40/75 + 7/9 is 59/45.
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,
40/75 = 40 × 3/75 × 3 = 120/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
7/9 = 7 × 25/9 × 25 = 175/225 - Add the two like fractions:
120/225 + 175/225 = 120 + 175/225 = 295/225 - 295/225 simplified gives 59/45
- So, 40/75 + 7/9 = 59/45
In mixed form: 114/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+7/9 40/75+14/9 40/75+7/18 40/75+21/9 40/75+7/27 40/75+35/9 40/75+7/45 40/75+49/9 40/75+7/63