What is 45/50 Divided By 4/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,