What is 81/99 Divided By 6/5

Solving $\frac{81}{99}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{99} \div \frac{6}{5} = \frac{81}{99} \times \frac{5}{6}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $99 \times 6 = 594$
• Form the New Fraction: $\frac{81}{99} \times \frac{6}{5} = \frac{405}{594}$

Let's Simplify $\frac{405}{594}$

• Find the Greatest Common Divisor (GCD) of $405$ and $594$. The GCD of $405$ and $594$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 27}{594 \div 27} = \frac{15}{22}$

Answer $\frac{81}{99}\div\frac{6}{5} = \frac{15}{22}$

The following animation demonstrates the divide-by,