What is 48/81 Divided By 1/9

Solving $\frac{48}{81}\div\frac{1}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{81} \div \frac{1}{9} = \frac{48}{81} \times \frac{9}{1}$

• Multiply the Numerators: $48 \times 9 = 432$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{48}{81} \times \frac{1}{9} = \frac{432}{81}$

Let's Simplify $\frac{432}{81}$

• Find the Greatest Common Divisor (GCD) of $432$ and $81$. The GCD of $432$ and $81$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 27}{81 \div 27} = \frac{16}{3}$

Answer $\frac{48}{81}\div\frac{1}{9} = \frac{16}{3}$

The following animation demonstrates the divide-by,