Add 45/54 and 3/40
45/54 + 3/40 is 109/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 54 × 20 = 1080,
45/54 = 45 × 20/54 × 20 = 900/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
3/40 = 3 × 27/40 × 27 = 81/1080 - Add the two like fractions:
900/1080 + 81/1080 = 900 + 81/1080 = 981/1080 - 981/1080 simplified gives 109/120
- So, 45/54 + 3/40 = 109/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/54+3/40 45/54+6/40 45/54+3/80 45/54+9/40 45/54+15/40 45/54+21/40