What is 50/24 Divided By 9/4

Solving $\frac{50}{24}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{24} \div \frac{9}{4} = \frac{50}{24} \times \frac{4}{9}$

• Multiply the Numerators: $50 \times 4 = 200$
• Multiply the Denominators: $24 \times 9 = 216$
• Form the New Fraction: $\frac{50}{24} \times \frac{9}{4} = \frac{200}{216}$

Let's Simplify $\frac{200}{216}$

• Find the Greatest Common Divisor (GCD) of $200$ and $216$. The GCD of $200$ and $216$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{200 \div 8}{216 \div 8} = \frac{25}{27}$

Answer $\frac{50}{24}\div\frac{9}{4} = \frac{25}{27}$

The following animation demonstrates the divide-by,