Question
\( \begin{array}{l} <1\\ <2\\ \checkmark 3\\ \checkmark 4\\ \checkmark 5\\ \checkmark 6\\ \checkmark 7\\ \checkmark 8\\ \checkmark 9\\ \checkmark 10\\ 11\\ 12\\ 13\\ \text { Perform the indicated operation. Write your answer as a simplified fraction. }\\ -\frac{12}{11} \cdot \frac{22}{15}= \end{array} \)
Ask by Boone Ayala. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
-\frac{8}{5}
\]
Solution
To simplify the expression:
\[
-\frac{12}{11} \times \frac{22}{15}
\]
**Step 1: Multiply the Numerators and the Denominators**
\[
\frac{-12 \times 22}{11 \times 15} = \frac{-264}{165}
\]
**Step 2: Simplify the Fraction**
Find the greatest common divisor (GCD) of 264 and 165.
- The GCD of 264 and 165 is **33**.
Divide both the numerator and the denominator by 33:
\[
\frac{-264 \div 33}{165 \div 33} = \frac{-8}{5}
\]
**Final Answer:**
\[
-\frac{8}{5}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To perform the operation \( -\frac{12}{11} \cdot \frac{22}{15} \), first multiply the numerators and the denominators separately. This gives you: \[ -\frac{12 \cdot 22}{11 \cdot 15} = -\frac{264}{165} \] Next, we simplify the fraction. Both 264 and 165 can be divided by 33: \[ -\frac{264 \div 33}{165 \div 33} = -\frac{8}{5} \] So, the simplified answer is: \[ -\frac{8}{5} \]
