What is 91/26 Divided By 4/5

Solving $\frac{91}{26}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{26} \div \frac{4}{5} = \frac{91}{26} \times \frac{5}{4}$

• Multiply the Numerators: $91 \times 5 = 455$
• Multiply the Denominators: $26 \times 4 = 104$
• Form the New Fraction: $\frac{91}{26} \times \frac{4}{5} = \frac{455}{104}$

Let's Simplify $\frac{455}{104}$

• Find the Greatest Common Divisor (GCD) of $455$ and $104$. The GCD of $455$ and $104$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{455 \div 13}{104 \div 13} = \frac{35}{8}$

Answer $\frac{91}{26}\div\frac{4}{5} = \frac{35}{8}$

The following animation demonstrates the divide-by,