Question
Multiply. \( \frac{6}{13} \times \frac{9}{4} \)
Ask by Stuart Pearson. in the United States
Jan 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The product of \( \frac{6}{13} \) and \( \frac{9}{4} \) is \( \frac{27}{26} \) or \( 1 \frac{1}{26} \).
Solution
To multiply the fractions \( \frac{6}{13} \) and \( \frac{9}{4} \), follow these steps:
1. **Multiply the numerators**:
\[
6 \times 9 = 54
\]
2. **Multiply the denominators**:
\[
13 \times 4 = 52
\]
3. **Combine the results**:
\[
\frac{6}{13} \times \frac{9}{4} = \frac{54}{52}
\]
4. **Simplify the fraction** by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
\[
\frac{54 \div 2}{52 \div 2} = \frac{27}{26}
\]
So, the product of \( \frac{6}{13} \) and \( \frac{9}{4} \) is:
\[
\frac{27}{26}
\]
This can also be expressed as a mixed number:
\[
1 \frac{1}{26}
\]
**Final Answer:**
\( \dfrac{27}{26} \)
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To multiply fractions, simply multiply the numerators together and the denominators together. So, we get: \(\frac{6 \times 9}{13 \times 4} = \frac{54}{52}\). Now, simplify the fraction. Both 54 and 52 can be divided by 2, resulting in: \(\frac{27}{26}\). And there you have it! The final answer is \(\frac{27}{26}\) or \(1 \frac{1}{26}\) if you prefer it as a mixed number.
