What is 91/52 Divided By 1/5

Solving $\frac{91}{52}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{52} \div \frac{1}{5} = \frac{91}{52} \times \frac{5}{1}$

• Multiply the Numerators: $91 \times 5 = 455$
• Multiply the Denominators: $52 \times 1 = 52$
• Form the New Fraction: $\frac{91}{52} \times \frac{1}{5} = \frac{455}{52}$

Let's Simplify $\frac{455}{52}$

• Find the Greatest Common Divisor (GCD) of $455$ and $52$. The GCD of $455$ and $52$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{455 \div 13}{52 \div 13} = \frac{35}{4}$

Answer $\frac{91}{52}\div\frac{1}{5} = \frac{35}{4}$

The following animation demonstrates the divide-by,