What is 52/28 Divided By 1/6

Solving $\frac{52}{28}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{28} \div \frac{1}{6} = \frac{52}{28} \times \frac{6}{1}$

• Multiply the Numerators: $52 \times 6 = 312$
• Multiply the Denominators: $28 \times 1 = 28$
• Form the New Fraction: $\frac{52}{28} \times \frac{1}{6} = \frac{312}{28}$

Let's Simplify $\frac{312}{28}$

• Find the Greatest Common Divisor (GCD) of $312$ and $28$. The GCD of $312$ and $28$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 4}{28 \div 4} = \frac{78}{7}$

Answer $\frac{52}{28}\div\frac{1}{6} = \frac{78}{7}$

The following animation demonstrates the divide-by,