What is 34/85 Divided By 2/9

Solving $\frac{34}{85}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{2}{9} = \frac{34}{85} \times \frac{9}{2}$

• Multiply the Numerators: $34 \times 9 = 306$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{34}{85} \times \frac{2}{9} = \frac{306}{170}$

Let's Simplify $\frac{306}{170}$

• Find the Greatest Common Divisor (GCD) of $306$ and $170$. The GCD of $306$ and $170$ is $34$.
• Divide both the numerator and the denominator by the GCD:$\frac{306 \div 34}{170 \div 34} = \frac{9}{5}$

Answer $\frac{34}{85}\div\frac{2}{9} = \frac{9}{5}$

The following animation demonstrates the divide-by,