Add 40/75 and 10/20
40/75 + 10/20 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 20 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300 - Likewise, for the 2nd fraction, since 20 × 15 = 300,
10/20 = 10 × 15/20 × 15 = 150/300 - Add the two like fractions:
160/300 + 150/300 = 160 + 150/300 = 310/300 - 310/300 simplified gives 31/30
- So, 40/75 + 10/20 = 31/30
In mixed form: 11/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+10/20 40/75+10/40 40/75+30/20 40/75+10/60 40/75+50/20 40/75+70/20