Add 18/45 and 45/54
18/45 + 45/54 is 37/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 45 × 6 = 270,
18/45 = 18 × 6/45 × 6 = 108/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
45/54 = 45 × 5/54 × 5 = 225/270 - Add the two like fractions:
108/270 + 225/270 = 108 + 225/270 = 333/270 - 333/270 simplified gives 37/30
- So, 18/45 + 45/54 = 37/30
In mixed form: 17/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/45+45/54 18/45+90/54 18/90+45/54 54/45+45/54 90/45+45/54