Add 40/75 and 15/7
1st number: 40/75, 2nd number: 2 1/7
40/75 + 15/7 is 281/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 7 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
40/75 = 40 × 7/75 × 7 = 280/525 - Likewise, for the 2nd fraction, since 7 × 75 = 525,
15/7 = 15 × 75/7 × 75 = 1125/525 - Add the two like fractions:
280/525 + 1125/525 = 280 + 1125/525 = 1405/525 - 1405/525 simplified gives 281/105
- So, 40/75 + 15/7 = 281/105
In mixed form: 271/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+15/7 40/75+30/7 40/75+15/14 40/75+45/7 40/75+15/21 40/75+75/7 40/75+15/35 40/75+15/49