What is 26/89 Divided By 2/5

Solving $\frac{26}{89}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{89} \div \frac{2}{5} = \frac{26}{89} \times \frac{5}{2}$

• Multiply the Numerators: $26 \times 5 = 130$
• Multiply the Denominators: $89 \times 2 = 178$
• Form the New Fraction: $\frac{26}{89} \times \frac{2}{5} = \frac{130}{178}$

Let's Simplify $\frac{130}{178}$

• Find the Greatest Common Divisor (GCD) of $130$ and $178$. The GCD of $130$ and $178$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{130 \div 2}{178 \div 2} = \frac{65}{89}$

Answer $\frac{26}{89}\div\frac{2}{5} = \frac{65}{89}$

The following animation demonstrates the divide-by,