What is 81/75 Divided By 1/5

Solving $\frac{81}{75}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{75} \div \frac{1}{5} = \frac{81}{75} \times \frac{5}{1}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{81}{75} \times \frac{1}{5} = \frac{405}{75}$

Let's Simplify $\frac{405}{75}$

• Find the Greatest Common Divisor (GCD) of $405$ and $75$. The GCD of $405$ and $75$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 15}{75 \div 15} = \frac{27}{5}$

Answer $\frac{81}{75}\div\frac{1}{5} = \frac{27}{5}$

The following animation demonstrates the divide-by,