What is 95/74 Divided By 4/7

Solving $\frac{95}{74}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{74} \div \frac{4}{7} = \frac{95}{74} \times \frac{7}{4}$

• Multiply the Numerators: $95 \times 7 = 665$
• Multiply the Denominators: $74 \times 4 = 296$
• Form the New Fraction: $\frac{95}{74} \times \frac{4}{7} = \frac{665}{296}$

Simplify - Since $\frac{665}{296}$​ is already in its simplest form (there are no common factors between $665$ and $296$ other than $1$), this is the final answer.

Answer $\frac{95}{74}\div\frac{4}{7} = \frac{665}{296}$

The following animation demonstrates the divide-by,