Add 30/40 and 10/18
30/40 + 10/18 is 47/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 18 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 18 × 20 = 360,
10/18 = 10 × 20/18 × 20 = 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 + 10/18 = 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+10/18 30/40+20/18 30/80+10/18 30/40+10/36 90/40+10/18 30/40+30/18 30/40+10/54 30/40+50/18 30/40+10/90 30/40+70/18