Add 40/75 and 9/21
40/75 + 9/21 is 101/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 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 21 × 25 = 525,
9/21 = 9 × 25/21 × 25 = 225/525 - Add the two like fractions:
280/525 + 225/525 = 280 + 225/525 = 505/525 - 505/525 simplified gives 101/105
- So, 40/75 + 9/21 = 101/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+9/21 40/75+18/21 40/75+9/42 40/75+27/21 40/75+9/63 40/75+45/21 40/75+63/21