What is 46/99 Divided By 1/6

Solving $\frac{46}{99}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{99} \div \frac{1}{6} = \frac{46}{99} \times \frac{6}{1}$

• Multiply the Numerators: $46 \times 6 = 276$
• Multiply the Denominators: $99 \times 1 = 99$
• Form the New Fraction: $\frac{46}{99} \times \frac{1}{6} = \frac{276}{99}$

Let's Simplify $\frac{276}{99}$

• Find the Greatest Common Divisor (GCD) of $276$ and $99$. The GCD of $276$ and $99$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{276 \div 3}{99 \div 3} = \frac{92}{33}$

Answer $\frac{46}{99}\div\frac{1}{6} = \frac{92}{33}$

The following animation demonstrates the divide-by,