What is 91/35 Divided By 5/2

Solving $\frac{91}{35}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{35} \div \frac{5}{2} = \frac{91}{35} \times \frac{2}{5}$

• Multiply the Numerators: $91 \times 2 = 182$
• Multiply the Denominators: $35 \times 5 = 175$
• Form the New Fraction: $\frac{91}{35} \times \frac{5}{2} = \frac{182}{175}$

Let's Simplify $\frac{182}{175}$

• Find the Greatest Common Divisor (GCD) of $182$ and $175$. The GCD of $182$ and $175$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{182 \div 7}{175 \div 7} = \frac{26}{25}$

Answer $\frac{91}{35}\div\frac{5}{2} = \frac{26}{25}$

The following animation demonstrates the divide-by,