34/5-67/3

To solve the expression \( \frac{34}{5} - \frac{67}{3} \), we first need to find a common denominator. The least common multiple of 5 and 3 is 15.

Now, we can express each fraction with the common denominator of 15:

1. Convert \( \frac{34}{5} \): \[ \frac{34}{5} = \frac{34 \times 3}{5 \times 3} = \frac{102}{15} \]

2. Convert \( \frac{67}{3} \): \[ \frac{67}{3} = \frac{67 \times 5}{3 \times 5} = \frac{335}{15} \]

Now we can subtract the two fractions: \[ \frac{102}{15} - \frac{335}{15} = \frac{102 - 335}{15} = \frac{-233}{15} \]

Thus, the result of \( \frac{34}{5} - \frac{67}{3} \) is: \[ \frac{-233}{15} \]