What is 34/85 Divided By 7/5

Solving $\frac{34}{85}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{7}{5} = \frac{34}{85} \times \frac{5}{7}$

• Multiply the Numerators: $34 \times 5 = 170$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{34}{85} \times \frac{7}{5} = \frac{170}{595}$

Let's Simplify $\frac{170}{595}$

• Find the Greatest Common Divisor (GCD) of $170$ and $595$. The GCD of $170$ and $595$ is $85$.
• Divide both the numerator and the denominator by the GCD:$\frac{170 \div 85}{595 \div 85} = \frac{2}{7}$

Answer $\frac{34}{85}\div\frac{7}{5} = \frac{2}{7}$

The following animation demonstrates the divide-by,