Add 10/40 and 20/30
10/40 + 20/30 is 11/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 30 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
10/40 = 10 × 3/40 × 3 = 30/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
20/30 = 20 × 4/30 × 4 = 80/120 - Add the two like fractions:
30/120 + 80/120 = 30 + 80/120 = 110/120 - 110/120 simplified gives 11/12
- So, 10/40 + 20/30 = 11/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/40+20/30 10/40+40/30 10/80+20/30 10/40+20/60 30/40+20/30 10/40+60/30 10/40+20/90 50/40+20/30 70/40+20/30