Question
Multiply. \[ -\frac{3}{7} \cdot 8 \] Write your answer in simplest form.
Ask by Harper Riley. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(-\dfrac{24}{7}\)
Solution
To multiply \(-\frac{3}{7}\) by \(8\), follow these steps:
\[
-\frac{3}{7} \times 8 = \frac{-3 \times 8}{7} = \frac{-24}{7}
\]
The fraction \(\frac{-24}{7}\) is already in its simplest form.
\[\boxed{-\dfrac{24}{7}}\]
Reviewed and approved by the UpStudy tutoring team
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The Deep Dive
To multiply \(-\frac{3}{7}\) by \(8\), you can think of \(8\) as \(\frac{8}{1}\). This leads us to: \[ -\frac{3}{7} \cdot \frac{8}{1} = -\frac{3 \cdot 8}{7 \cdot 1} = -\frac{24}{7} \] Now, \(-\frac{24}{7}\) is already in its simplest form since the numerator and denominator share no common factors other than \(1\). Therefore, the final answer is: \[ -\frac{24}{7} \]