What is 75/99 Divided By 1/6

Solving $\frac{75}{99}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{99} \div \frac{1}{6} = \frac{75}{99} \times \frac{6}{1}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $99 \times 1 = 99$
• Form the New Fraction: $\frac{75}{99} \times \frac{1}{6} = \frac{450}{99}$

Let's Simplify $\frac{450}{99}$

• Find the Greatest Common Divisor (GCD) of $450$ and $99$. The GCD of $450$ and $99$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 9}{99 \div 9} = \frac{50}{11}$

Answer $\frac{75}{99}\div\frac{1}{6} = \frac{50}{11}$

The following animation demonstrates the divide-by,