What is 34/85 Divided By 8/3

Solving $\frac{34}{85}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{8}{3} = \frac{34}{85} \times \frac{3}{8}$

• Multiply the Numerators: $34 \times 3 = 102$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{34}{85} \times \frac{8}{3} = \frac{102}{680}$

Let's Simplify $\frac{102}{680}$

• Find the Greatest Common Divisor (GCD) of $102$ and $680$. The GCD of $102$ and $680$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 34}{680 \div 34} = \frac{3}{20}$

Answer $\frac{34}{85}\div\frac{8}{3} = \frac{3}{20}$

The following animation demonstrates the divide-by,