What is 34/17 Divided By 5/7

Solving $\frac{34}{17}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{17} \div \frac{5}{7} = \frac{34}{17} \times \frac{7}{5}$

• Multiply the Numerators: $34 \times 7 = 238$
• Multiply the Denominators: $17 \times 5 = 85$
• Form the New Fraction: $\frac{34}{17} \times \frac{5}{7} = \frac{238}{85}$

Let's Simplify $\frac{238}{85}$

• Find the Greatest Common Divisor (GCD) of $238$ and $85$. The GCD of $238$ and $85$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{238 \div 17}{85 \div 17} = \frac{14}{5}$

Answer $\frac{34}{17}\div\frac{5}{7} = \frac{14}{5}$

The following animation demonstrates the divide-by,