Add 10/9 and 40/16
1st number: 1 1/9, 2nd number: 2 8/16
10/9 + 40/16 is 65/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
10/9 = 10 × 16/9 × 16 = 160/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
40/16 = 40 × 9/16 × 9 = 360/144 - Add the two like fractions:
160/144 + 360/144 = 160 + 360/144 = 520/144 - 520/144 simplified gives 65/18
- So, 10/9 + 40/16 = 65/18
In mixed form: 311/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/9+40/16 10/9+80/16 10/18+40/16 10/9+40/32 30/9+40/16 10/27+40/16 10/9+40/48 50/9+40/16 10/45+40/16 10/9+40/80 70/9+40/16 10/63+40/16