Add 45/8 and 20/9
1st number: 5 5/8, 2nd number: 2 2/9
45/8 + 20/9 is 565/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 8 × 9 = 72,
45/8 = 45 × 9/8 × 9 = 405/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
20/9 = 20 × 8/9 × 8 = 160/72 - Add the two like fractions:
405/72 + 160/72 = 405 + 160/72 = 565/72 - So, 45/8 + 20/9 = 565/72
In mixed form: 761/72
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/8+20/9 45/8+40/9 45/16+20/9 45/8+20/18 45/8+60/9 45/24+20/9 45/8+20/27 45/40+20/9 45/8+20/45 45/56+20/9 45/8+20/63