What is 72/81 Divided By 1/5

Solving $\frac{72}{81}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{81} \div \frac{1}{5} = \frac{72}{81} \times \frac{5}{1}$

• Multiply the Numerators: $72 \times 5 = 360$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{72}{81} \times \frac{1}{5} = \frac{360}{81}$

Let's Simplify $\frac{360}{81}$

• Find the Greatest Common Divisor (GCD) of $360$ and $81$. The GCD of $360$ and $81$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 9}{81 \div 9} = \frac{40}{9}$

Answer $\frac{72}{81}\div\frac{1}{5} = \frac{40}{9}$

The following animation demonstrates the divide-by,