Add 8/9 and 30/40
8/9 + 30/40 is 59/36.
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,
30/40 = 30 × 9/40 × 9 = 270/360 - Add the two like fractions:
320/360 + 270/360 = 320 + 270/360 = 590/360 - 590/360 simplified gives 59/36
- So, 8/9 + 30/40 = 59/36
In mixed form: 123/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/9+30/40 8/9+60/40 8/18+30/40 8/9+30/80 24/9+30/40 8/9+90/40 8/27+30/40 40/9+30/40 8/45+30/40 56/9+30/40 8/63+30/40