What is 46/48 Divided By 1/6

Solving $\frac{46}{48}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{48} \div \frac{1}{6} = \frac{46}{48} \times \frac{6}{1}$

• Multiply the Numerators: $46 \times 6 = 276$
• Multiply the Denominators: $48 \times 1 = 48$
• Form the New Fraction: $\frac{46}{48} \times \frac{1}{6} = \frac{276}{48}$

Let's Simplify $\frac{276}{48}$

• Find the Greatest Common Divisor (GCD) of $276$ and $48$. The GCD of $276$ and $48$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{276 \div 12}{48 \div 12} = \frac{23}{4}$

Answer $\frac{46}{48}\div\frac{1}{6} = \frac{23}{4}$

The following animation demonstrates the divide-by,