Add 27/45 and 45/18
1st number: 27/45, 2nd number: 2 9/18
27/45 + 45/18 is 31/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 18 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
27/45 = 27 × 2/45 × 2 = 54/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
45/18 = 45 × 5/18 × 5 = 225/90 - Add the two like fractions:
54/90 + 225/90 = 54 + 225/90 = 279/90 - 279/90 simplified gives 31/10
- So, 27/45 + 45/18 = 31/10
In mixed form: 31/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/45+45/18 27/45+90/18 27/90+45/18 27/45+45/36 81/45+45/18 27/45+45/54 27/45+45/90