Add 75/40 and 45/54
1st number: 1 35/40, 2nd number: 45/54
75/40 + 45/54 is 65/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 54 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
75/40 = 75 × 27/40 × 27 = 2025/1080 - Likewise, for the 2nd fraction, since 54 × 20 = 1080,
45/54 = 45 × 20/54 × 20 = 900/1080 - Add the two like fractions:
2025/1080 + 900/1080 = 2025 + 900/1080 = 2925/1080 - 2925/1080 simplified gives 65/24
- So, 75/40 + 45/54 = 65/24
In mixed form: 217/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/40+90/54 75/80+45/54