What is 52/91 Divided By 1/6

Solving $\frac{52}{91}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{91} \div \frac{1}{6} = \frac{52}{91} \times \frac{6}{1}$

• Multiply the Numerators: $52 \times 6 = 312$
• Multiply the Denominators: $91 \times 1 = 91$
• Form the New Fraction: $\frac{52}{91} \times \frac{1}{6} = \frac{312}{91}$

Let's Simplify $\frac{312}{91}$

• Find the Greatest Common Divisor (GCD) of $312$ and $91$. The GCD of $312$ and $91$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 13}{91 \div 13} = \frac{24}{7}$

Answer $\frac{52}{91}\div\frac{1}{6} = \frac{24}{7}$

The following animation demonstrates the divide-by,