Add 40/75 and 9/40
40/75 + 9/40 is 91/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
9/40 = 9 × 15/40 × 15 = 135/600 - Add the two like fractions:
320/600 + 135/600 = 320 + 135/600 = 455/600 - 455/600 simplified gives 91/120
- So, 40/75 + 9/40 = 91/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+9/40 40/75+18/40 40/75+9/80 40/75+27/40 40/75+45/40 40/75+63/40