Question
Simplify the expression \[ \left(\frac{8}{6} t-4\right) 3 \]
Ask by Romero Norris. in the United States
Jan 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \(4t - 12\).
Solution
To simplify the expression:
\[
\left(\frac{8}{6} t - 4\right) \times 3
\]
**Step 1: Simplify the Fraction**
First, simplify the fraction \(\frac{8}{6}\):
\[
\frac{8}{6} = \frac{4}{3}
\]
**Step 2: Rewrite the Expression**
Substitute the simplified fraction back into the expression:
\[
\left(\frac{4}{3} t - 4\right) \times 3
\]
**Step 3: Distribute the 3**
Multiply each term inside the parentheses by 3:
\[
3 \times \frac{4}{3} t - 3 \times 4
\]
\[
= 4t - 12
\]
**Final Simplified Expression:**
\[
4t - 12
\]
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Simplify this solution Mind Expander
To simplify the expression \(\left(\frac{8}{6} t-4\right) 3\), we first simplify \(\frac{8}{6}\) to \(\frac{4}{3}\). Now, the expression becomes: \[ \left(\frac{4}{3} t - 4\right) 3 \] Next, we distribute the 3: \[ 3 \cdot \frac{4}{3} t - 3 \cdot 4 \] This simplifies to: \[ 4t - 12 \] So the simplified expression is: \[ 4t - 12 \]
