Add 40/45 and 9/16
40/45 + 9/16 is 209/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 16 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
40/45 = 40 × 16/45 × 16 = 640/720 - Likewise, for the 2nd fraction, since 16 × 45 = 720,
9/16 = 9 × 45/16 × 45 = 405/720 - Add the two like fractions:
640/720 + 405/720 = 640 + 405/720 = 1045/720 - 1045/720 simplified gives 209/144
- So, 40/45 + 9/16 = 209/144
In mixed form: 165/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+9/16 40/45+18/16 40/90+9/16 40/45+9/32 40/45+27/16 40/45+9/48 40/45+45/16 40/45+9/80 40/45+63/16