Add 20/40 and 9/14
20/40 + 9/14 is 8/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
20/40 = 20 × 7/40 × 7 = 140/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
9/14 = 9 × 20/14 × 20 = 180/280 - Add the two like fractions:
140/280 + 180/280 = 140 + 180/280 = 320/280 - 320/280 simplified gives 8/7
- So, 20/40 + 9/14 = 8/7
In mixed form: 11/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/40+18/14 20/80+9/14 20/40+9/28 60/40+9/14 20/40+27/14 20/40+9/42 20/40+45/14 20/40+9/70 20/40+63/14 20/40+9/98