Add 14/18 and 20/45
14/18 + 20/45 is 11/9.
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,
14/18 = 14 × 5/18 × 5 = 70/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
20/45 = 20 × 2/45 × 2 = 40/90 - Add the two like fractions:
70/90 + 40/90 = 70 + 40/90 = 110/90 - 110/90 simplified gives 11/9
- So, 14/18 + 20/45 = 11/9
In mixed form: 12/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/18+20/45 14/18+40/45 14/36+20/45 14/18+20/90 42/18+20/45 14/18+60/45 14/54+20/45 70/18+20/45 14/90+20/45 98/18+20/45