QuestionMarch 3, 2026

10. Perform the operation: Must show your work. (6 pts) (8)/(33)div (12)/(55)

10. Perform the operation: Must show your work. (6 pts) (8)/(33)div (12)/(55)
10. Perform the operation: Must show your work. (6 pts) (8)/(33)div (12)/(55)

Solution
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Answer

\frac{110}{99} Explanation 1. Rewrite division as multiplication \frac{8}{33} \div \frac{12}{55} = \frac{8}{33} \times \frac{55}{12} 2. Multiply numerators and denominators \frac{8 \times 55}{33 \times 12} = \frac{440}{396} 3. Simplify fraction Divide numerator and denominator by 4: \frac{440}{396} = \frac{110}{99} 4. Check for further simplification \frac{110}{99} cannot be reduced further since \gcd(110,99)=1.

Explanation

1. Rewrite division as multiplication<br /> $\frac{8}{33} \div \frac{12}{55} = \frac{8}{33} \times \frac{55}{12}$<br />2. Multiply numerators and denominators<br /> $\frac{8 \times 55}{33 \times 12} = \frac{440}{396}$<br />3. Simplify fraction<br /> Divide numerator and denominator by $4$: $\frac{440}{396} = \frac{110}{99}$<br />4. Check for further simplification<br /> $\frac{110}{99}$ cannot be reduced further since $\gcd(110,99)=1$.
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