Add 15/18 and 40/45
15/18 + 40/45 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 18 × 5 = 90,
15/18 = 15 × 5/18 × 5 = 75/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
40/45 = 40 × 2/45 × 2 = 80/90 - Add the two like fractions:
75/90 + 80/90 = 75 + 80/90 = 155/90 - 155/90 simplified gives 31/18
- So, 15/18 + 40/45 = 31/18
In mixed form: 113/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 30/18+40/45 15/18+80/45 15/36+40/45 15/18+40/90 45/18+40/45 15/54+40/45 75/18+40/45 15/90+40/45