Add 20/9 and 45/4
1st number: 2 2/9, 2nd number: 11 1/4
20/9 + 45/4 is 485/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 4 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
20/9 = 20 × 4/9 × 4 = 80/36 - Likewise, for the 2nd fraction, since 4 × 9 = 36,
45/4 = 45 × 9/4 × 9 = 405/36 - Add the two like fractions:
80/36 + 405/36 = 80 + 405/36 = 485/36 - So, 20/9 + 45/4 = 485/36
In mixed form: 1317/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+45/4 20/9+90/4 20/18+45/4 20/9+45/8 60/9+45/4 20/27+45/4 20/9+45/12 20/45+45/4 20/9+45/20 20/63+45/4 20/9+45/28