Paul thinks of a number $n$ . He divides $n$ by 2 and then subtracts $1 / 2$ from the result. He takes half of that result and then subtracts $1 / 2$ again. Translate this information in terms of $n$ .
a. $1 / 4 n - 1 / 2$
b. $1 / 4 n - 1 / 4$
c. $1 / 4 n - 3 / 4$
d. $1 / 2 n - 1 / 2$
e. $3 / 4 n - 3 / 4$

Answer

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Answer

$\frac{1}{4} n - \frac{3}{4}$

Steps

Step 1 ：Divide $n$ by 2: $\frac{n}{2}$

Step 2 ：Subtract $\frac{1}{2}$ from the result: $\frac{n}{2} - \frac{1}{2}$

Step 3 ：Take half of that result: $\frac{1}{2} (\frac{n}{2} - \frac{1}{2})$

Step 4 ：Subtract $\frac{1}{2}$ again: $\frac{1}{2} (\frac{n}{2} - \frac{1}{2}) - \frac{1}{2}$

Step 5 ：Simplify the expression: $\frac{1}{4} n - \frac{3}{4}$

Step 6 ： $\frac{1}{4} n - \frac{3}{4}$