What is 17/85 Divided By 4/9

Solving $\frac{17}{85}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{85} \div \frac{4}{9} = \frac{17}{85} \times \frac{9}{4}$

• Multiply the Numerators: $17 \times 9 = 153$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{17}{85} \times \frac{4}{9} = \frac{153}{340}$

Let's Simplify $\frac{153}{340}$

• Find the Greatest Common Divisor (GCD) of $153$ and $340$. The GCD of $153$ and $340$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{153 \div 17}{340 \div 17} = \frac{9}{20}$

Answer $\frac{17}{85}\div\frac{4}{9} = \frac{9}{20}$

The following animation demonstrates the divide-by,