What is 34/85 Divided By 5/9

Solving $\frac{34}{85}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{85} \div \frac{5}{9} = \frac{34}{85} \times \frac{9}{5}$

• Multiply the Numerators: $34 \times 9 = 306$
• Multiply the Denominators: $85 \times 5 = 425$
• Form the New Fraction: $\frac{34}{85} \times \frac{5}{9} = \frac{306}{425}$

Let's Simplify $\frac{306}{425}$

• Find the Greatest Common Divisor (GCD) of $306$ and $425$. The GCD of $306$ and $425$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{306 \div 17}{425 \div 17} = \frac{18}{25}$

Answer $\frac{34}{85}\div\frac{5}{9} = \frac{18}{25}$

The following animation demonstrates the divide-by,