What is 75/81 Divided By 2/9

Solving $\frac{75}{81}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{2}{9} = \frac{75}{81} \times \frac{9}{2}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{75}{81} \times \frac{2}{9} = \frac{675}{162}$

Let's Simplify $\frac{675}{162}$

• Find the Greatest Common Divisor (GCD) of $675$ and $162$. The GCD of $675$ and $162$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 27}{162 \div 27} = \frac{25}{6}$

Answer $\frac{75}{81}\div\frac{2}{9} = \frac{25}{6}$

The following animation demonstrates the divide-by,