What is 81/11 Divided By 3/5

Solving $\frac{81}{11}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{11} \div \frac{3}{5} = \frac{81}{11} \times \frac{5}{3}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $11 \times 3 = 33$
• Form the New Fraction: $\frac{81}{11} \times \frac{3}{5} = \frac{405}{33}$

Let's Simplify $\frac{405}{33}$

• Find the Greatest Common Divisor (GCD) of $405$ and $33$. The GCD of $405$ and $33$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 3}{33 \div 3} = \frac{135}{11}$

Answer $\frac{81}{11}\div\frac{3}{5} = \frac{135}{11}$

The following animation demonstrates the divide-by,