What is 81/99 Divided By 7/5

Solving $\frac{81}{99}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{99} \div \frac{7}{5} = \frac{81}{99} \times \frac{5}{7}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $99 \times 7 = 693$
• Form the New Fraction: $\frac{81}{99} \times \frac{7}{5} = \frac{405}{693}$

Let's Simplify $\frac{405}{693}$

• Find the Greatest Common Divisor (GCD) of $405$ and $693$. The GCD of $405$ and $693$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 9}{693 \div 9} = \frac{45}{77}$

Answer $\frac{81}{99}\div\frac{7}{5} = \frac{45}{77}$

The following animation demonstrates the divide-by,