Add 40/75 and 36/40
40/75 + 36/40 is 43/30.
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,
36/40 = 36 × 15/40 × 15 = 540/600 - Add the two like fractions:
320/600 + 540/600 = 320 + 540/600 = 860/600 - 860/600 simplified gives 43/30
- So, 40/75 + 36/40 = 43/30
In mixed form: 113/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+36/40 40/75+72/40 40/75+36/80