To solve the expression \(( \frac{10}{5} ) \times 20 - \frac{5}{8}\), we follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).
First, we solve the part within the parentheses: \(\frac{10}{5} = 2\)
Now substitute back into the expression: \(2 \times 20 - \frac{5}{8}\)
Next, perform the multiplication: \(2 \times 20 = 40\)
Now the expression is: \(40 - \frac{5}{8}\)
To subtract \(\frac{5}{8}\) from 40, we convert 40 to a fraction with the same denominator: \(40 = \frac{40 \times 8}{8} = \frac{320}{8}\)
Now subtract: \(\frac{320}{8} - \frac{5}{8} = \frac{320 - 5}{8} = \frac{315}{8}\)
Therefore, the final result is: \[ \frac{315}{8} \text{ or } 39.375 \]
