Add 18/20 and 14/45
18/20 + 14/45 is 109/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
18/20 = 18 × 9/20 × 9 = 162/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
14/45 = 14 × 4/45 × 4 = 56/180 - Add the two like fractions:
162/180 + 56/180 = 162 + 56/180 = 218/180 - 218/180 simplified gives 109/90
- So, 18/20 + 14/45 = 109/90
In mixed form: 119/90
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/20+14/45 18/20+28/45 18/40+14/45 18/20+14/90 54/20+14/45 18/20+42/45 18/60+14/45 90/20+14/45 18/20+70/45 18/20+98/45