What is 45/81 Divided By 1/6

Solving $\frac{45}{81}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{81} \div \frac{1}{6} = \frac{45}{81} \times \frac{6}{1}$

• Multiply the Numerators: $45 \times 6 = 270$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{45}{81} \times \frac{1}{6} = \frac{270}{81}$

Let's Simplify $\frac{270}{81}$

• Find the Greatest Common Divisor (GCD) of $270$ and $81$. The GCD of $270$ and $81$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 27}{81 \div 27} = \frac{10}{3}$

Answer $\frac{45}{81}\div\frac{1}{6} = \frac{10}{3}$

The following animation demonstrates the divide-by,