To solve the expression \( 347 - 34:4 \cdot 51 \), we need to follow the order of operations (also known as PEMDAS/BODMAS):
- Division and Multiplication from left to right
- Then, Subtraction
Let's break it down:
First, calculate \( 34:4 \) (which is the same as \( \frac{34}{4} \)): \[ 34 \div 4 = 8.5 \]
Next, multiply the result by 51: \[ 8.5 \cdot 51 = 433.5 \]
Finally, subtract that from 347: \[ 347 - 433.5 = -86.5 \]
Therefore, the final result is: \[ \boxed{-86.5} \]
