Add 45/75 and 5/9
45/75 + 5/9 is 52/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
45/75 = 45 × 3/75 × 3 = 135/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
5/9 = 5 × 25/9 × 25 = 125/225 - Add the two like fractions:
135/225 + 125/225 = 135 + 125/225 = 260/225 - 260/225 simplified gives 52/45
- So, 45/75 + 5/9 = 52/45
In mixed form: 17/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/75+5/9 45/75+10/9 45/75+5/18 45/75+15/9 45/75+5/27 45/75+25/9 45/75+5/45 45/75+35/9 45/75+5/63