Add 8/9 and 45/40
1st number: 8/9, 2nd number: 1 5/40
8/9 + 45/40 is 145/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
8/9 = 8 × 40/9 × 40 = 320/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
45/40 = 45 × 9/40 × 9 = 405/360 - Add the two like fractions:
320/360 + 405/360 = 320 + 405/360 = 725/360 - 725/360 simplified gives 145/72
- So, 8/9 + 45/40 = 145/72
In mixed form: 21/72
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/9+45/40 8/9+90/40 8/18+45/40 8/9+45/80 24/9+45/40 8/27+45/40 40/9+45/40 8/45+45/40 56/9+45/40 8/63+45/40