What is 85/99 Divided By 5/8

Solving $\frac{85}{99}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{99} \div \frac{5}{8} = \frac{85}{99} \times \frac{8}{5}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $99 \times 5 = 495$
• Form the New Fraction: $\frac{85}{99} \times \frac{5}{8} = \frac{680}{495}$

Let's Simplify $\frac{680}{495}$

• Find the Greatest Common Divisor (GCD) of $680$ and $495$. The GCD of $680$ and $495$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 5}{495 \div 5} = \frac{136}{99}$

Answer $\frac{85}{99}\div\frac{5}{8} = \frac{136}{99}$

The following animation demonstrates the divide-by,