What is 34/85 Divided By 9/6

Solving $\frac{34}{85}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{9}{6} = \frac{34}{85} \times \frac{6}{9}$

• Multiply the Numerators: $34 \times 6 = 204$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{34}{85} \times \frac{9}{6} = \frac{204}{765}$

Let's Simplify $\frac{204}{765}$

• Find the Greatest Common Divisor (GCD) of $204$ and $765$. The GCD of $204$ and $765$ is $51$.
• Divide both the numerator and the denominator by the GCD:$\frac{204 \div 51}{765 \div 51} = \frac{4}{15}$

Answer $\frac{34}{85}\div\frac{9}{6} = \frac{4}{15}$

The following animation demonstrates the divide-by,