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Rewrite the division problem as multiplication by the reciprocal of the second fraction.

May 17, 2026Mathematics

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Answer

\frac{11}{5}

2\frac{1}{5}

4 steps

Rewrite the division problem as multiplication by the reciprocal of the second fraction.
$\frac{11}{12} \div \frac{5}{12} = \frac{11}{12} \times \frac{12}{5}$
Multiply the numerators and the denominators.
$\frac{11}{12} \times \frac{12}{5} = \frac{11 \times 12}{12 \times 5}$
Cancel out the common factor of 12 from the numerator and the denominator.
$\frac{11 \times \cancel{12}}{\cancel{12} \times 5} = \frac{11}{5}$
Convert the improper fraction to a mixed number if desired.
$\frac{11}{5} = 2\frac{1}{5}$
The answer can be left as an improper fraction or converted to a mixed number.

The final answer is $\boxed{\frac{11}{5}}$ or $\boxed{2\frac{1}{5}}$ .

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