What is 17/85 Divided By 3/2

Solving $\frac{17}{85}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{85} \div \frac{3}{2} = \frac{17}{85} \times \frac{2}{3}$

• Multiply the Numerators: $17 \times 2 = 34$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{17}{85} \times \frac{3}{2} = \frac{34}{255}$

Let's Simplify $\frac{34}{255}$

• Find the Greatest Common Divisor (GCD) of $34$ and $255$. The GCD of $34$ and $255$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{34 \div 17}{255 \div 17} = \frac{2}{15}$

Answer $\frac{17}{85}\div\frac{3}{2} = \frac{2}{15}$

The following animation demonstrates the divide-by,