What is 74/89 Divided By 7/4

Solving $\frac{74}{89}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{89} \div \frac{7}{4} = \frac{74}{89} \times \frac{4}{7}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $89 \times 7 = 623$
• Form the New Fraction: $\frac{74}{89} \times \frac{7}{4} = \frac{296}{623}$

Simplify - Since $\frac{296}{623}$​ is already in its simplest form (there are no common factors between $296$ and $623$ other than $1$), this is the final answer.

Answer $\frac{74}{89}\div\frac{7}{4} = \frac{296}{623}$

The following animation demonstrates the divide-by,