Question
Distributive properiy: Fractional coerricionts Use the distributive property to remove the parentheses. Simplify your answer as much as possible. \[ 8\left(\frac{1}{4} u+\frac{3}{2}\right) \] \( \square \)
Ask by Fleming Bartlett. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 2u + 12 \)
Solution
To apply the **distributive property** to the expression \( 8\left(\frac{1}{4} u + \frac{3}{2}\right) \), follow these steps:
1. **Multiply each term inside the parentheses by 8:**
\[
8 \times \frac{1}{4}u + 8 \times \frac{3}{2}
\]
2. **Simplify each multiplication:**
- \( 8 \times \frac{1}{4}u = 2u \)
- \( 8 \times \frac{3}{2} = 12 \)
3. **Combine the simplified terms:**
\[
2u + 12
\]
**Final Answer:**
\[
2u + 12
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To use the distributive property, multiply each term inside the parentheses by 8. So, we have: \[ 8 \left(\frac{1}{4} u + \frac{3}{2}\right) = 8 \cdot \frac{1}{4} u + 8 \cdot \frac{3}{2} \] Calculating those separately gives: \[ 8 \cdot \frac{1}{4} u = 2u \] \[ 8 \cdot \frac{3}{2} = 12 \] Putting it all together, we get: \[ 2u + 12 \] So the simplified expression is: \[ 2u + 12 \]
