What is 75/81 Divided By 2/5

Solving $\frac{75}{81}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{2}{5} = \frac{75}{81} \times \frac{5}{2}$

• Multiply the Numerators: $75 \times 5 = 375$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{75}{81} \times \frac{2}{5} = \frac{375}{162}$

Let's Simplify $\frac{375}{162}$

• Find the Greatest Common Divisor (GCD) of $375$ and $162$. The GCD of $375$ and $162$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{375 \div 3}{162 \div 3} = \frac{125}{54}$

Answer $\frac{75}{81}\div\frac{2}{5} = \frac{125}{54}$

The following animation demonstrates the divide-by,