What is 26/50 Divided By 2/5

Solving $\frac{26}{50}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{50} \div \frac{2}{5} = \frac{26}{50} \times \frac{5}{2}$

• Multiply the Numerators: $26 \times 5 = 130$
• Multiply the Denominators: $50 \times 2 = 100$
• Form the New Fraction: $\frac{26}{50} \times \frac{2}{5} = \frac{130}{100}$

Let's Simplify $\frac{130}{100}$

• Find the Greatest Common Divisor (GCD) of $130$ and $100$. The GCD of $130$ and $100$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{130 \div 10}{100 \div 10} = \frac{13}{10}$

Answer $\frac{26}{50}\div\frac{2}{5} = \frac{13}{10}$

The following animation demonstrates the divide-by,