Add 40/16 and 70/9
1st number: 2 8/16, 2nd number: 7 7/9
40/16 + 70/9 is 185/18.
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,
70/9 = 70 × 16/9 × 16 = 1120/144 - Add the two like fractions:
360/144 + 1120/144 = 360 + 1120/144 = 1480/144 - 1480/144 simplified gives 185/18
- So, 40/16 + 70/9 = 185/18
In mixed form: 105/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/16+70/9 40/32+70/9 40/16+70/18 40/48+70/9 40/16+70/27 40/80+70/9 40/16+70/45 40/16+70/63