Add 10/18 and 28/40
10/18 + 28/40 is 113/90.
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,
10/18 = 10 × 20/18 × 20 = 200/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
28/40 = 28 × 9/40 × 9 = 252/360 - Add the two like fractions:
200/360 + 252/360 = 200 + 252/360 = 452/360 - 452/360 simplified gives 113/90
- So, 10/18 + 28/40 = 113/90
In mixed form: 123/90
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/18+28/40 10/18+56/40 10/36+28/40 10/18+28/80 30/18+28/40 10/18+84/40 10/54+28/40 50/18+28/40 10/90+28/40 70/18+28/40