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Simpilfy: 8-3(1)/(2)-2(1)/(4)...

Simpilfy:
`8-3(1)/(2)-2(1)/(4)`

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The correct Answer is:
To simplify the expression \( 8 - \frac{3(1)}{2} - \frac{2(1)}{4} \), we will follow these steps: ### Step 1: Rewrite the expression First, let's rewrite the expression clearly: \[ 8 - \frac{3 \times 1}{2} - \frac{2 \times 1}{4} \] This simplifies to: \[ 8 - \frac{3}{2} - \frac{2}{4} \] ### Step 2: Simplify the fractions The fraction \( \frac{2}{4} \) can be simplified: \[ \frac{2}{4} = \frac{1}{2} \] Now, the expression becomes: \[ 8 - \frac{3}{2} - \frac{1}{2} \] ### Step 3: Combine the fractions Next, we can combine the fractions \( -\frac{3}{2} - \frac{1}{2} \): \[ -\frac{3}{2} - \frac{1}{2} = -\frac{3 + 1}{2} = -\frac{4}{2} = -2 \] Now, the expression is: \[ 8 - 2 \] ### Step 4: Perform the subtraction Now, we perform the subtraction: \[ 8 - 2 = 6 \] ### Final Answer The simplified expression is: \[ \boxed{6} \] ---
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