Question
Multiply. Write your answer as a fraction in simplest \[ \frac{4}{5} \times \frac{3}{11} \times \frac{1}{4} \]
Ask by Love Boone. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The product of the fractions is \(\frac{3}{55}\).
Solution
To multiply the fractions \(\frac{4}{5}\), \(\frac{3}{11}\), and \(\frac{1}{4}\), follow these steps:
1. **Multiply the numerators**:
\[
4 \times 3 \times 1 = 12
\]
2. **Multiply the denominators**:
\[
5 \times 11 \times 4 = 220
\]
3. **Combine the results**:
\[
\frac{12}{220}
\]
4. **Simplify the fraction**:
- Find the greatest common divisor (GCD) of 12 and 220, which is 4.
- Divide both the numerator and the denominator by 4:
\[
\frac{12 \div 4}{220 \div 4} = \frac{3}{55}
\]
So, the simplified product of the fractions is:
\[
\boxed{\dfrac{3}{55}}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To multiply the fractions, you multiply the numerators together and the denominators together: \[ \frac{4}{5} \times \frac{3}{11} \times \frac{1}{4} = \frac{4 \times 3 \times 1}{5 \times 11 \times 4} \] Calculating the numerator: \[ 4 \times 3 \times 1 = 12 \] Calculating the denominator: \[ 5 \times 11 \times 4 = 220 \] So, we have: \[ \frac{12}{220} \] Now, let's simplify the fraction. The greatest common divisor (GCD) of 12 and 220 is 4. So, we divide both the numerator and the denominator by 4: \[ \frac{12 \div 4}{220 \div 4} = \frac{3}{55} \] Thus, the answer is: \[ \frac{3}{55} \]
