Add 27/45 and 18/40
27/45 + 18/40 is 21/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
27/45 = 27 × 8/45 × 8 = 216/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
18/40 = 18 × 9/40 × 9 = 162/360 - Add the two like fractions:
216/360 + 162/360 = 216 + 162/360 = 378/360 - 378/360 simplified gives 21/20
- So, 27/45 + 18/40 = 21/20
In mixed form: 11/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/45+18/40 27/45+36/40 27/90+18/40 27/45+18/80 81/45+18/40 27/45+54/40 27/45+90/40