What is 81/99 Divided By 2/7

Solving $\frac{81}{99}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{99} \div \frac{2}{7} = \frac{81}{99} \times \frac{7}{2}$

• Multiply the Numerators: $81 \times 7 = 567$
• Multiply the Denominators: $99 \times 2 = 198$
• Form the New Fraction: $\frac{81}{99} \times \frac{2}{7} = \frac{567}{198}$

Let's Simplify $\frac{567}{198}$

• Find the Greatest Common Divisor (GCD) of $567$ and $198$. The GCD of $567$ and $198$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{567 \div 9}{198 \div 9} = \frac{63}{22}$

Answer $\frac{81}{99}\div\frac{2}{7} = \frac{63}{22}$

The following animation demonstrates the divide-by,