Add 20/45 and 14/18
20/45 + 14/18 is 11/9.
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,
20/45 = 20 × 2/45 × 2 = 40/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
14/18 = 14 × 5/18 × 5 = 70/90 - Add the two like fractions:
40/90 + 70/90 = 40 + 70/90 = 110/90 - 110/90 simplified gives 11/9
- So, 20/45 + 14/18 = 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: 40/45+14/18 20/45+28/18 20/90+14/18 20/45+14/36 60/45+14/18 20/45+42/18 20/45+14/54 20/45+70/18 20/45+14/90 20/45+98/18