What is 45/50 Divided By 4/9

Solving $\frac{45}{50}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{50} \div \frac{4}{9} = \frac{45}{50} \times \frac{9}{4}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $50 \times 4 = 200$
• Form the New Fraction: $\frac{45}{50} \times \frac{4}{9} = \frac{405}{200}$

Let's Simplify $\frac{405}{200}$

• Find the Greatest Common Divisor (GCD) of $405$ and $200$. The GCD of $405$ and $200$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 5}{200 \div 5} = \frac{81}{40}$

Answer $\frac{45}{50}\div\frac{4}{9} = \frac{81}{40}$

The following animation demonstrates the divide-by,