Add 30/18 and 45/40
1st number: 1 12/18, 2nd number: 1 5/40
30/18 + 45/40 is 67/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 18 × 20 = 360,
30/18 = 30 × 20/18 × 20 = 600/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
45/40 = 45 × 9/40 × 9 = 405/360 - Add the two like fractions:
600/360 + 405/360 = 600 + 405/360 = 1005/360 - 1005/360 simplified gives 67/24
- So, 30/18 + 45/40 = 67/24
In mixed form: 219/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/18+45/40 30/18+90/40 30/36+45/40 30/18+45/80 90/18+45/40 30/54+45/40 30/90+45/40