What is 48/81 Divided By 1/6

Solving $\frac{48}{81}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{81} \div \frac{1}{6} = \frac{48}{81} \times \frac{6}{1}$

• Multiply the Numerators: $48 \times 6 = 288$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{48}{81} \times \frac{1}{6} = \frac{288}{81}$

Let's Simplify $\frac{288}{81}$

• Find the Greatest Common Divisor (GCD) of $288$ and $81$. The GCD of $288$ and $81$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{288 \div 9}{81 \div 9} = \frac{32}{9}$

Answer $\frac{48}{81}\div\frac{1}{6} = \frac{32}{9}$

The following animation demonstrates the divide-by,