What is 34/85 Divided By 2/8

Solving $\frac{34}{85}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{2}{8} = \frac{34}{85} \times \frac{8}{2}$

• Multiply the Numerators: $34 \times 8 = 272$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{34}{85} \times \frac{2}{8} = \frac{272}{170}$

Let's Simplify $\frac{272}{170}$

• Find the Greatest Common Divisor (GCD) of $272$ and $170$. The GCD of $272$ and $170$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{272 \div 34}{170 \div 34} = \frac{8}{5}$

Answer $\frac{34}{85}\div\frac{2}{8} = \frac{8}{5}$

The following animation demonstrates the divide-by,