What is 75/81 Divided By 1/6

Solving $\frac{75}{81}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{1}{6} = \frac{75}{81} \times \frac{6}{1}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{75}{81} \times \frac{1}{6} = \frac{450}{81}$

Let's Simplify $\frac{450}{81}$

• Find the Greatest Common Divisor (GCD) of $450$ and $81$. The GCD of $450$ and $81$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 9}{81 \div 9} = \frac{50}{9}$

Answer $\frac{75}{81}\div\frac{1}{6} = \frac{50}{9}$

The following animation demonstrates the divide-by,