What is 74/53 Divided By 7/4

Solving $\frac{74}{53}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{53} \div \frac{7}{4} = \frac{74}{53} \times \frac{4}{7}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $53 \times 7 = 371$
• Form the New Fraction: $\frac{74}{53} \times \frac{7}{4} = \frac{296}{371}$

Simplify - Since $\frac{296}{371}$​ is already in its simplest form (there are no common factors between $296$ and $371$ other than $1$), this is the final answer.

Answer $\frac{74}{53}\div\frac{7}{4} = \frac{296}{371}$

The following animation demonstrates the divide-by,