What is 74/85 Divided By 2/7

Solving $\frac{74}{85}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{2}{7} = \frac{74}{85} \times \frac{7}{2}$

• Multiply the Numerators: $74 \times 7 = 518$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{74}{85} \times \frac{2}{7} = \frac{518}{170}$

Let's Simplify $\frac{518}{170}$

• Find the Greatest Common Divisor (GCD) of $518$ and $170$. The GCD of $518$ and $170$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{518 \div 2}{170 \div 2} = \frac{259}{85}$

Answer $\frac{74}{85}\div\frac{2}{7} = \frac{259}{85}$

The following animation demonstrates the divide-by,