Question
Multiply: \( \frac{1}{16} \cdot \frac{4}{5} \) Give your answer as a fraction, reduced to lowest terms Submit Question
Ask by Bob Stuart. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{1}{20}\)
Solution
To multiply the fractions \(\frac{1}{16}\) and \(\frac{4}{5}\), follow these steps:
1. **Multiply the numerators**:
\[
1 \times 4 = 4
\]
2. **Multiply the denominators**:
\[
16 \times 5 = 80
\]
3. **Combine the results**:
\[
\frac{4}{80}
\]
4. **Simplify the fraction** by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
\[
\frac{4 \div 4}{80 \div 4} = \frac{1}{20}
\]
**Final Answer:** \(\boxed{\dfrac{1}{20}}\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find the product of \( \frac{1}{16} \) and \( \frac{4}{5} \), you multiply the numerators together and the denominators together: \[ \frac{1 \cdot 4}{16 \cdot 5} = \frac{4}{80} \] Now, to reduce this fraction to its lowest terms, find the greatest common divisor (GCD) of 4 and 80, which is 4. Divide both the numerator and the denominator by their GCD: \[ \frac{4 \div 4}{80 \div 4} = \frac{1}{20} \] So, the answer is \( \frac{1}{20} \).
