Add 45/4 and 20/9
1st number: 11 1/4, 2nd number: 2 2/9
45/4 + 20/9 is 485/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 4 × 9 = 36,
45/4 = 45 × 9/4 × 9 = 405/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
20/9 = 20 × 4/9 × 4 = 80/36 - Add the two like fractions:
405/36 + 80/36 = 405 + 80/36 = 485/36 - So, 45/4 + 20/9 = 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: 90/4+20/9 45/4+40/9 45/8+20/9 45/4+20/18 45/4+60/9 45/12+20/9 45/4+20/27 45/20+20/9 45/4+20/45 45/28+20/9 45/4+20/63