Add 10/81 and 40/45
10/81 + 40/45 is 82/81.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 45 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 81 × 5 = 405,
10/81 = 10 × 5/81 × 5 = 50/405 - Likewise, for the 2nd fraction, since 45 × 9 = 405,
40/45 = 40 × 9/45 × 9 = 360/405 - Add the two like fractions:
50/405 + 360/405 = 50 + 360/405 = 410/405 - 410/405 simplified gives 82/81
- So, 10/81 + 40/45 = 82/81
In mixed form: 11/81
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/81+40/45 10/81+80/45 10/81+40/90 30/81+40/45 50/81+40/45 70/81+40/45