Question

Simplify completely quantity 2 x minus 24 over 8.

quantity x minus 24 over 4
x minus 12 over 4
2x − 3
x − 3

Answer 1

Let's simplify the expression \( \frac{2x - 24}{8} \).

### Step 1: Factor the numerator
The numerator \( 2x - 24 \) can be factored:
\[
2x - 24 = 2(x - 12)
\]

### Step 2: Substitute the factored form into the expression
Now substituting the factored form into the expression gives:
\[
\frac{2(x - 12)}{8}
\]

### Step 3: Simplify the fraction
Now, we can simplify the fraction:
\[
\frac{2(x - 12)}{8} = \frac{1}{4}(x - 12)
\]

### Step 4: This gives us the final answer
So we can write it as:
\[
\frac{x - 12}{4}
\]

Thus, the simplified form of \( \frac{2x - 24}{8} \) is:
\[
\frac{x - 12}{4}
\]

From your provided options, the correct answer is:
\[
\frac{x - 12}{4}
\]