What is 54/99 Divided By 5/8

Solving $\frac{54}{99}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{99} \div \frac{5}{8} = \frac{54}{99} \times \frac{8}{5}$

• Multiply the Numerators: $54 \times 8 = 432$
• Multiply the Denominators: $99 \times 5 = 495$
• Form the New Fraction: $\frac{54}{99} \times \frac{5}{8} = \frac{432}{495}$

Let's Simplify $\frac{432}{495}$

• Find the Greatest Common Divisor (GCD) of $432$ and $495$. The GCD of $432$ and $495$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 9}{495 \div 9} = \frac{48}{55}$

Answer $\frac{54}{99}\div\frac{5}{8} = \frac{48}{55}$

The following animation demonstrates the divide-by,