What is 81/22 Divided By 6/5

Solving $\frac{81}{22}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{22} \div \frac{6}{5} = \frac{81}{22} \times \frac{5}{6}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $22 \times 6 = 132$
• Form the New Fraction: $\frac{81}{22} \times \frac{6}{5} = \frac{405}{132}$

Let's Simplify $\frac{405}{132}$

• Find the Greatest Common Divisor (GCD) of $405$ and $132$. The GCD of $405$ and $132$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 3}{132 \div 3} = \frac{135}{44}$

Answer $\frac{81}{22}\div\frac{6}{5} = \frac{135}{44}$

The following animation demonstrates the divide-by,