Question
Find \( -6 x \div 3 \) when \( x=\frac{3}{4} \)
Ask by Peters Ramirez. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
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 \(\frac{-3}{2}\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
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: \[ -\frac{3}{2} \]
