What is 91/52 Divided By 5/2

Solving $\frac{91}{52}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{52} \div \frac{5}{2} = \frac{91}{52} \times \frac{2}{5}$

• Multiply the Numerators: $91 \times 2 = 182$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{91}{52} \times \frac{5}{2} = \frac{182}{260}$

Let's Simplify $\frac{182}{260}$

• Find the Greatest Common Divisor (GCD) of $182$ and $260$. The GCD of $182$ and $260$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{182 \div 26}{260 \div 26} = \frac{7}{10}$

Answer $\frac{91}{52}\div\frac{5}{2} = \frac{7}{10}$

The following animation demonstrates the divide-by,