What is 50/45 Divided By 5/4

Solving $\frac{50}{45}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{45} \div \frac{5}{4} = \frac{50}{45} \times \frac{4}{5}$

• Multiply the Numerators: $50 \times 4 = 200$
• Multiply the Denominators: $45 \times 5 = 225$
• Form the New Fraction: $\frac{50}{45} \times \frac{5}{4} = \frac{200}{225}$

Let's Simplify $\frac{200}{225}$

• Find the Greatest Common Divisor (GCD) of $200$ and $225$. The GCD of $200$ and $225$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{200 \div 25}{225 \div 25} = \frac{8}{9}$

Answer $\frac{50}{45}\div\frac{5}{4} = \frac{8}{9}$

The following animation demonstrates the divide-by,