What is 91/42 Divided By 2/5

Solving $\frac{91}{42}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{42} \div \frac{2}{5} = \frac{91}{42} \times \frac{5}{2}$

• Multiply the Numerators: $91 \times 5 = 455$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{91}{42} \times \frac{2}{5} = \frac{455}{84}$

Let's Simplify $\frac{455}{84}$

• Find the Greatest Common Divisor (GCD) of $455$ and $84$. The GCD of $455$ and $84$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{455 \div 7}{84 \div 7} = \frac{65}{12}$

Answer $\frac{91}{42}\div\frac{2}{5} = \frac{65}{12}$

The following animation demonstrates the divide-by,