Add 45/18 and 54/40
1st number: 2 9/18, 2nd number: 1 14/40
45/18 + 54/40 is 77/20.
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,
45/18 = 45 × 20/18 × 20 = 900/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
54/40 = 54 × 9/40 × 9 = 486/360 - Add the two like fractions:
900/360 + 486/360 = 900 + 486/360 = 1386/360 - 1386/360 simplified gives 77/20
- So, 45/18 + 54/40 = 77/20
In mixed form: 317/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/18+54/40 45/36+54/40 45/18+54/80 45/54+54/40 45/90+54/40