What is 17/85 Divided By 3/9

Solving $\frac{17}{85}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{85} \div \frac{3}{9} = \frac{17}{85} \times \frac{9}{3}$

• Multiply the Numerators: $17 \times 9 = 153$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{17}{85} \times \frac{3}{9} = \frac{153}{255}$

Let's Simplify $\frac{153}{255}$

• Find the Greatest Common Divisor (GCD) of $153$ and $255$. The GCD of $153$ and $255$ is $51$.
• Divide both the numerator and the denominator by the GCD:$\frac{153 \div 51}{255 \div 51} = \frac{3}{5}$

Answer $\frac{17}{85}\div\frac{3}{9} = \frac{3}{5}$

The following animation demonstrates the divide-by,