5-3/2/7

To evaluate the expression \(5 - \frac{3}{2} \div 7\), we need to follow the order of operations (also known as PEMDAS/BODMAS rules):

1. Start with the division: \[ \frac{3}{2} \div 7 = \frac{3}{2} \times \frac{1}{7} = \frac{3}{14} \]

2. Now substitute this back into the expression: \[ 5 - \frac{3}{14} \]

3. To perform the subtraction, we need a common denominator. The common denominator of 5 (which can be written as \(\frac{70}{14}\)) and \(\frac{3}{14}\) is 14: \[ 5 = \frac{70}{14} \]

4. Now perform the subtraction: \[ \frac{70}{14} - \frac{3}{14} = \frac{70 - 3}{14} = \frac{67}{14} \]

Thus, the final answer is: \[ \frac{67}{14} \quad \text{or approximately } 4.7857 \]