What is 76/81 Divided By 2/5

Solving $\frac{76}{81}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{81} \div \frac{2}{5} = \frac{76}{81} \times \frac{5}{2}$

• Multiply the Numerators: $76 \times 5 = 380$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{76}{81} \times \frac{2}{5} = \frac{380}{162}$

Let's Simplify $\frac{380}{162}$

• Find the Greatest Common Divisor (GCD) of $380$ and $162$. The GCD of $380$ and $162$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{380 \div 2}{162 \div 2} = \frac{190}{81}$

Answer $\frac{76}{81}\div\frac{2}{5} = \frac{190}{81}$

The following animation demonstrates the divide-by,