Add 45/16 and 35/18
1st number: 2 13/16, 2nd number: 1 17/18
45/16 + 35/18 is 685/144.
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,
35/18 = 35 × 8/18 × 8 = 280/144 - Add the two like fractions:
405/144 + 280/144 = 405 + 280/144 = 685/144 - So, 45/16 + 35/18 = 685/144
In mixed form: 4109/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/16+35/18 45/16+70/18 45/32+35/18 45/16+35/36 45/48+35/18 45/16+35/54 45/80+35/18 45/16+35/90