Add 35/16 and 40/18
1st number: 2 3/16, 2nd number: 2 4/18
35/16 + 40/18 is 635/144.
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,
35/16 = 35 × 9/16 × 9 = 315/144 - Likewise, for the 2nd fraction, since 18 × 8 = 144,
40/18 = 40 × 8/18 × 8 = 320/144 - Add the two like fractions:
315/144 + 320/144 = 315 + 320/144 = 635/144 - So, 35/16 + 40/18 = 635/144
In mixed form: 459/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/16+40/18 35/16+80/18 35/32+40/18 35/16+40/36 35/48+40/18 35/16+40/54 35/80+40/18 35/16+40/90