Add 35/18 and 40/16
1st number: 1 17/18, 2nd number: 2 8/16
35/18 + 40/16 is 40/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 18 × 8 = 144,
35/18 = 35 × 8/18 × 8 = 280/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
40/16 = 40 × 9/16 × 9 = 360/144 - Add the two like fractions:
280/144 + 360/144 = 280 + 360/144 = 640/144 - 640/144 simplified gives 40/9
- So, 35/18 + 40/16 = 40/9
In mixed form: 44/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/18+40/16 35/18+80/16 35/36+40/16 35/18+40/32 35/54+40/16 35/18+40/48 35/90+40/16 35/18+40/80