What is 34/85 Divided By 8/5

Solving $\frac{34}{85}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{8}{5} = \frac{34}{85} \times \frac{5}{8}$

• Multiply the Numerators: $34 \times 5 = 170$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{34}{85} \times \frac{8}{5} = \frac{170}{680}$

Let's Simplify $\frac{170}{680}$

• Find the Greatest Common Divisor (GCD) of $170$ and $680$. The GCD of $170$ and $680$ is $170$.
• Divide both the numerator and the denominator by the GCD:$\frac{170 \div 170}{680 \div 170} = \frac{1}{4}$

Answer $\frac{34}{85}\div\frac{8}{5} = \frac{1}{4}$

The following animation demonstrates the divide-by,