Add 4/9 and 20/40
4/9 + 20/40 is 17/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
4/9 = 4 × 40/9 × 40 = 160/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
20/40 = 20 × 9/40 × 9 = 180/360 - Add the two like fractions:
160/360 + 180/360 = 160 + 180/360 = 340/360 - 340/360 simplified gives 17/18
- So, 4/9 + 20/40 = 17/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+20/40 4/18+20/40 4/9+20/80 12/9+20/40 4/9+60/40 4/27+20/40 20/9+20/40 4/45+20/40 28/9+20/40 4/63+20/40