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Find \( -6 x \div 3 \) when \( x=\frac{3}{4} \)

Ask by Peters Ramirez. in the United States
Mar 11,2025

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Answer

The final answer is \(-\frac{3}{2}\).

Solution

1. Substitute \( x = \frac{3}{4} \) into the expression: \[ -6x \div 3 = -6\left(\frac{3}{4}\right) \div 3. \] 2. Multiply \(-6\) by \(\frac{3}{4}\): \[ -6\left(\frac{3}{4}\right) = \frac{-18}{4}. \] 3. Divide the result by \(3\): \[ \frac{-18}{4} \div 3 = \frac{-18}{4} \times \frac{1}{3} = \frac{-18}{12}. \] 4. Simplify the fraction: \[ \frac{-18}{12} = \frac{-3}{2}. \] The final answer is \(\frac{-3}{2}\).

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Let's solve the expression step-by-step: First, substitute \( x \) with \( \frac{3}{4} \): \[ -6 \cdot \frac{3}{4} \div 3 \] Now, simplify \( -6 \cdot \frac{3}{4} \): \[ -6 \cdot \frac{3}{4} = -\frac{18}{4} = -\frac{9}{2} \] Next, divide \( -\frac{9}{2} \) by \( 3 \): \[ -\frac{9}{2} \div 3 = -\frac{9}{2} \cdot \frac{1}{3} = -\frac{9}{6} = -\frac{3}{2} \] Thus, the final result is: \[ -\frac{3}{2} \]

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