What is 75/85 Divided By 3/9

Solving $\frac{75}{85}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{3}{9} = \frac{75}{85} \times \frac{9}{3}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{75}{85} \times \frac{3}{9} = \frac{675}{255}$

Let's Simplify $\frac{675}{255}$

• Find the Greatest Common Divisor (GCD) of $675$ and $255$. The GCD of $675$ and $255$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 15}{255 \div 15} = \frac{45}{17}$

Answer $\frac{75}{85}\div\frac{3}{9} = \frac{45}{17}$

The following animation demonstrates the divide-by,