What is 46/60 Divided By 1/6

Solving $\frac{46}{60}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{60} \div \frac{1}{6} = \frac{46}{60} \times \frac{6}{1}$

• Multiply the Numerators: $46 \times 6 = 276$
• Multiply the Denominators: $60 \times 1 = 60$
• Form the New Fraction: $\frac{46}{60} \times \frac{1}{6} = \frac{276}{60}$

Let's Simplify $\frac{276}{60}$

• Find the Greatest Common Divisor (GCD) of $276$ and $60$. The GCD of $276$ and $60$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{276 \div 12}{60 \div 12} = \frac{23}{5}$

Answer $\frac{46}{60}\div\frac{1}{6} = \frac{23}{5}$

The following animation demonstrates the divide-by,