What is 26/81 Divided By 4/5

Solving $\frac{26}{81}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{81} \div \frac{4}{5} = \frac{26}{81} \times \frac{5}{4}$

• Multiply the Numerators: $26 \times 5 = 130$
• Multiply the Denominators: $81 \times 4 = 324$
• Form the New Fraction: $\frac{26}{81} \times \frac{4}{5} = \frac{130}{324}$

Let's Simplify $\frac{130}{324}$

• Find the Greatest Common Divisor (GCD) of $130$ and $324$. The GCD of $130$ and $324$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{130 \div 2}{324 \div 2} = \frac{65}{162}$

Answer $\frac{26}{81}\div\frac{4}{5} = \frac{65}{162}$

The following animation demonstrates the divide-by,