What is 81/74 Divided By 4/7

Solving $\frac{81}{74}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{74} \div \frac{4}{7} = \frac{81}{74} \times \frac{7}{4}$

• Multiply the Numerators: $81 \times 7 = 567$
• Multiply the Denominators: $74 \times 4 = 296$
• Form the New Fraction: $\frac{81}{74} \times \frac{4}{7} = \frac{567}{296}$

Simplify - Since $\frac{567}{296}$​ is already in its simplest form (there are no common factors between $567$ and $296$ other than $1$), this is the final answer.

Answer $\frac{81}{74}\div\frac{4}{7} = \frac{567}{296}$

The following animation demonstrates the divide-by,