Question
Multiply and simplify \( 5 \frac{1}{2} \times 1 \frac{5}{11} \)
Ask by Conner Bartlett. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Multiply \( 5 \frac{1}{2} \) by \( 1 \frac{5}{11} \) to get \( \frac{11}{2} \times \frac{16}{11} = 8 \).
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Mind Expander
To multiply these mixed numbers, first convert them to improper fractions. For \( 5 \frac{1}{2} \): \( 5 \times 2 + 1 = 10 + 1 = 11 \), so it becomes \( \frac{11}{2} \). For \( 1 \frac{5}{11} \): \( 1 \times 11 + 5 = 11 + 5 = 16 \), so it becomes \( \frac{16}{11} \). Now multiply the two fractions: \[ \frac{11}{2} \times \frac{16}{11} = \frac{11 \times 16}{2 \times 11} = \frac{176}{22} = 8. \] So, the product of \( 5 \frac{1}{2} \times 1 \frac{5}{11} \) simplifies to \( 8 \).
