What is 50/85 Divided By 9/4

Solving $\frac{50}{85}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{85} \div \frac{9}{4} = \frac{50}{85} \times \frac{4}{9}$

• Multiply the Numerators: $50 \times 4 = 200$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{50}{85} \times \frac{9}{4} = \frac{200}{765}$

Let's Simplify $\frac{200}{765}$

• Find the Greatest Common Divisor (GCD) of $200$ and $765$. The GCD of $200$ and $765$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{200 \div 5}{765 \div 5} = \frac{40}{153}$

Answer $\frac{50}{85}\div\frac{9}{4} = \frac{40}{153}$

The following animation demonstrates the divide-by,