What is 81/99 Divided By 5/6

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $81 \times 6 = 486$
• Multiply the Denominators: $99 \times 5 = 495$
• Form the New Fraction: $\frac{81}{99} \times \frac{5}{6} = \frac{486}{495}$

Let's Simplify $\frac{486}{495}$

• Find the Greatest Common Divisor (GCD) of $486$ and $495$. The GCD of $486$ and $495$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{486 \div 9}{495 \div 9} = \frac{54}{55}$

Answer $\frac{81}{99}\div\frac{5}{6} = \frac{54}{55}$

The following animation demonstrates the divide-by,