Add 40/18 and 12/16
1st number: 2 4/18, 2nd number: 12/16
40/18 + 12/16 is 107/36.
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,
40/18 = 40 × 8/18 × 8 = 320/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
12/16 = 12 × 9/16 × 9 = 108/144 - Add the two like fractions:
320/144 + 108/144 = 320 + 108/144 = 428/144 - 428/144 simplified gives 107/36
- So, 40/18 + 12/16 = 107/36
In mixed form: 235/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/18+12/16 40/18+24/16 40/36+12/16 40/18+12/32 40/18+36/16 40/54+12/16 40/18+12/48 40/18+60/16 40/90+12/16 40/18+12/80 40/18+84/16