Add 40/9 and 20/16
1st number: 4 4/9, 2nd number: 1 4/16
40/9 + 20/16 is 205/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
40/9 = 40 × 16/9 × 16 = 640/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
20/16 = 20 × 9/16 × 9 = 180/144 - Add the two like fractions:
640/144 + 180/144 = 640 + 180/144 = 820/144 - 820/144 simplified gives 205/36
- So, 40/9 + 20/16 = 205/36
In mixed form: 525/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+20/16 40/9+40/16 40/18+20/16 40/9+20/32 40/9+60/16 40/27+20/16 40/9+20/48 40/45+20/16 40/9+20/80 40/63+20/16