Add 40/16 and 14/9
1st number: 2 8/16, 2nd number: 1 5/9
40/16 + 14/9 is 73/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
40/16 = 40 × 9/16 × 9 = 360/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
14/9 = 14 × 16/9 × 16 = 224/144 - Add the two like fractions:
360/144 + 224/144 = 360 + 224/144 = 584/144 - 584/144 simplified gives 73/18
- So, 40/16 + 14/9 = 73/18
In mixed form: 41/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/16+14/9 40/16+28/9 40/32+14/9 40/16+14/18 40/16+42/9 40/48+14/9 40/16+14/27 40/16+70/9 40/80+14/9 40/16+14/45 40/16+98/9 40/16+14/63