What is 45/85 Divided By 1/9

Solving $\frac{45}{85}\div\frac{1}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{85} \div \frac{1}{9} = \frac{45}{85} \times \frac{9}{1}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $85 \times 1 = 85$
• Form the New Fraction: $\frac{45}{85} \times \frac{1}{9} = \frac{405}{85}$

Let's Simplify $\frac{405}{85}$

• Find the Greatest Common Divisor (GCD) of $405$ and $85$. The GCD of $405$ and $85$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 5}{85 \div 5} = \frac{81}{17}$

Answer $\frac{45}{85}\div\frac{1}{9} = \frac{81}{17}$

The following animation demonstrates the divide-by,