Add 75/8 and 36/27
1st number: 9 3/8, 2nd number: 1 9/27
75/8 + 36/27 is 257/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
75/8 = 75 × 27/8 × 27 = 2025/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
36/27 = 36 × 8/27 × 8 = 288/216 - Add the two like fractions:
2025/216 + 288/216 = 2025 + 288/216 = 2313/216 - 2313/216 simplified gives 257/24
- So, 75/8 + 36/27 = 257/24
In mixed form: 1017/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/8+72/27 75/16+36/27 75/8+36/54 75/24+36/27 75/8+36/81 75/40+36/27 75/56+36/27