Add 30/40 and 5/9
30/40 + 5/9 is 47/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 9 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
30/40 = 30 × 9/40 × 9 = 270/360 - Likewise, for the 2nd fraction, since 9 × 40 = 360,
5/9 = 5 × 40/9 × 40 = 200/360 - Add the two like fractions:
270/360 + 200/360 = 270 + 200/360 = 470/360 - 470/360 simplified gives 47/36
- So, 30/40 + 5/9 = 47/36
In mixed form: 111/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+5/9 30/40+10/9 30/80+5/9 30/40+5/18 90/40+5/9 30/40+15/9 30/40+5/27 30/40+25/9 30/40+5/45 30/40+35/9 30/40+5/63