What is 26/91 Divided By 2/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $26 \times 5 = 130$
• Multiply the Denominators: $91 \times 2 = 182$
• Form the New Fraction: $\frac{26}{91} \times \frac{2}{5} = \frac{130}{182}$

Let's Simplify $\frac{130}{182}$

• Find the Greatest Common Divisor (GCD) of $130$ and $182$. The GCD of $130$ and $182$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{130 \div 26}{182 \div 26} = \frac{5}{7}$

Answer $\frac{26}{91}\div\frac{2}{5} = \frac{5}{7}$

The following animation demonstrates the divide-by,