Add 45/16 and 14/18
1st number: 2 13/16, 2nd number: 14/18
45/16 + 14/18 is 517/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 18 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
45/16 = 45 × 9/16 × 9 = 405/144 - Likewise, for the 2nd fraction, since 18 × 8 = 144,
14/18 = 14 × 8/18 × 8 = 112/144 - Add the two like fractions:
405/144 + 112/144 = 405 + 112/144 = 517/144 - So, 45/16 + 14/18 = 517/144
In mixed form: 385/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/16+14/18 45/16+28/18 45/32+14/18 45/16+14/36 45/16+42/18 45/48+14/18 45/16+14/54 45/16+70/18 45/80+14/18 45/16+14/90 45/16+98/18