Add 20/45 and 9/4
1st number: 20/45, 2nd number: 2 1/4
20/45 + 9/4 is 97/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 4 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
20/45 = 20 × 4/45 × 4 = 80/180 - Likewise, for the 2nd fraction, since 4 × 45 = 180,
9/4 = 9 × 45/4 × 45 = 405/180 - Add the two like fractions:
80/180 + 405/180 = 80 + 405/180 = 485/180 - 485/180 simplified gives 97/36
- So, 20/45 + 9/4 = 97/36
In mixed form: 225/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/45+9/4 20/45+18/4 20/90+9/4 20/45+9/8 60/45+9/4 20/45+27/4 20/45+9/12 20/45+45/4 20/45+9/20 20/45+63/4 20/45+9/28