Add 14/45 and 16/20
14/45 + 16/20 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
14/45 = 14 × 4/45 × 4 = 56/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
16/20 = 16 × 9/20 × 9 = 144/180 - Add the two like fractions:
56/180 + 144/180 = 56 + 144/180 = 200/180 - 200/180 simplified gives 10/9
- So, 14/45 + 16/20 = 10/9
In mixed form: 11/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/45+16/20 14/45+32/20 14/90+16/20 14/45+16/40 42/45+16/20 14/45+48/20 14/45+16/60 70/45+16/20 14/45+80/20 98/45+16/20