What is 34/85 Divided By 8/6

Solving $\frac{34}{85}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{8}{6} = \frac{34}{85} \times \frac{6}{8}$

• Multiply the Numerators: $34 \times 6 = 204$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{34}{85} \times \frac{8}{6} = \frac{204}{680}$

Let's Simplify $\frac{204}{680}$

• Find the Greatest Common Divisor (GCD) of $204$ and $680$. The GCD of $204$ and $680$ is $68$.
• Divide both the numerator and the denominator by the GCD:$\frac{204 \div 68}{680 \div 68} = \frac{3}{10}$

Answer $\frac{34}{85}\div\frac{8}{6} = \frac{3}{10}$

The following animation demonstrates the divide-by,