What is 18/99 Divided By 9/5

Solving $\frac{18}{99}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{99} \div \frac{9}{5} = \frac{18}{99} \times \frac{5}{9}$

• Multiply the Numerators: $18 \times 5 = 90$
• Multiply the Denominators: $99 \times 9 = 891$
• Form the New Fraction: $\frac{18}{99} \times \frac{9}{5} = \frac{90}{891}$

Let's Simplify $\frac{90}{891}$

• Find the Greatest Common Divisor (GCD) of $90$ and $891$. The GCD of $90$ and $891$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 9}{891 \div 9} = \frac{10}{99}$

Answer $\frac{18}{99}\div\frac{9}{5} = \frac{10}{99}$

The following animation demonstrates the divide-by,