What is 74/45 Divided By 7/4

Solving $\frac{74}{45}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{45} \div \frac{7}{4} = \frac{74}{45} \times \frac{4}{7}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $45 \times 7 = 315$
• Form the New Fraction: $\frac{74}{45} \times \frac{7}{4} = \frac{296}{315}$

Simplify - Since $\frac{296}{315}$​ is already in its simplest form (there are no common factors between $296$ and $315$ other than $1$), this is the final answer.

Answer $\frac{74}{45}\div\frac{7}{4} = \frac{296}{315}$

The following animation demonstrates the divide-by,