What is 91/39 Divided By 8/5

Solving $\frac{91}{39}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{39} \div \frac{8}{5} = \frac{91}{39} \times \frac{5}{8}$

• Multiply the Numerators: $91 \times 5 = 455$
• Multiply the Denominators: $39 \times 8 = 312$
• Form the New Fraction: $\frac{91}{39} \times \frac{8}{5} = \frac{455}{312}$

Let's Simplify $\frac{455}{312}$

• Find the Greatest Common Divisor (GCD) of $455$ and $312$. The GCD of $455$ and $312$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{455 \div 13}{312 \div 13} = \frac{35}{24}$

Answer $\frac{91}{39}\div\frac{8}{5} = \frac{35}{24}$

The following animation demonstrates the divide-by,