What is 74/85 Divided By 4/7

Solving $\frac{74}{85}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{4}{7} = \frac{74}{85} \times \frac{7}{4}$

• Multiply the Numerators: $74 \times 7 = 518$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{74}{85} \times \frac{4}{7} = \frac{518}{340}$

Let's Simplify $\frac{518}{340}$

• Find the Greatest Common Divisor (GCD) of $518$ and $340$. The GCD of $518$ and $340$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{518 \div 2}{340 \div 2} = \frac{259}{170}$

Answer $\frac{74}{85}\div\frac{4}{7} = \frac{259}{170}$

The following animation demonstrates the divide-by,