What is 45/85 Divided By 9/4

Solving $\frac{45}{85}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{85} \div \frac{9}{4} = \frac{45}{85} \times \frac{4}{9}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{45}{85} \times \frac{9}{4} = \frac{180}{765}$

Let's Simplify $\frac{180}{765}$

• Find the Greatest Common Divisor (GCD) of $180$ and $765$. The GCD of $180$ and $765$ is $45$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 45}{765 \div 45} = \frac{4}{17}$

Answer $\frac{45}{85}\div\frac{9}{4} = \frac{4}{17}$

The following animation demonstrates the divide-by,