What is 91/26 Divided By 2/5

Solving $\frac{91}{26}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{26} \div \frac{2}{5} = \frac{91}{26} \times \frac{5}{2}$

• Multiply the Numerators: $91 \times 5 = 455$
• Multiply the Denominators: $26 \times 2 = 52$
• Form the New Fraction: $\frac{91}{26} \times \frac{2}{5} = \frac{455}{52}$

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 $\frac{91}{26}\div\frac{2}{5} = \frac{35}{4}$

The following animation demonstrates the divide-by,