What is 74/11 Divided By 7/4

Solving $\frac{74}{11}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{11} \div \frac{7}{4} = \frac{74}{11} \times \frac{4}{7}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $11 \times 7 = 77$
• Form the New Fraction: $\frac{74}{11} \times \frac{7}{4} = \frac{296}{77}$

Simplify - Since $\frac{296}{77}$​ is already in its simplest form (there are no common factors between $296$ and $77$ other than $1$), this is the final answer.

Answer $\frac{74}{11}\div\frac{7}{4} = \frac{296}{77}$

The following animation demonstrates the divide-by,