Question
Signed fraction multiplication: Basic Multiply. \( 6 \cdot\left(-\frac{5}{3}\right) \) Write your answer in simplest form.
Ask by Brewer Gibson. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(-10\)
Solution
To multiply \( 6 \) by \( -\frac{5}{3} \), follow these steps:
1. **Convert the whole number to a fraction:**
\[
6 = \frac{6}{1}
\]
2. **Multiply the numerators and the denominators:**
\[
\frac{6}{1} \times \left(-\frac{5}{3}\right) = \frac{6 \times (-5)}{1 \times 3} = \frac{-30}{3}
\]
3. **Simplify the fraction:**
\[
\frac{-30}{3} = -10
\]
**Final Answer:**
\[
-10
\]
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Simplify this solution Extra Insights
To multiply \( 6 \) by \( -\frac{5}{3} \), you can think of \( 6 \) as \( \frac{6}{1} \). So, the multiplication becomes: \[ \frac{6}{1} \cdot -\frac{5}{3} = \frac{6 \cdot -5}{1 \cdot 3} = \frac{-30}{3} \] Now, simplify \( \frac{-30}{3} \): \[ \frac{-30}{3} = -10 \] Thus, the final answer in simplest form is \( -10 \).
