What is 76/89 Divided By 1/6

Solving $\frac{76}{89}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{89} \div \frac{1}{6} = \frac{76}{89} \times \frac{6}{1}$

• Multiply the Numerators: $76 \times 6 = 456$
• Multiply the Denominators: $89 \times 1 = 89$
• Form the New Fraction: $\frac{76}{89} \times \frac{1}{6} = \frac{456}{89}$

Simplify - Since $\frac{456}{89}$​ is already in its simplest form (there are no common factors between $456$ and $89$ other than $1$), this is the final answer.

Answer $\frac{76}{89}\div\frac{1}{6} = \frac{456}{89}$

The following animation demonstrates the divide-by,