What is 75/81 Divided By 2/3

Solving $\frac{75}{81}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{2}{3} = \frac{75}{81} \times \frac{3}{2}$

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{75}{81} \times \frac{2}{3} = \frac{225}{162}$

Let's Simplify $\frac{225}{162}$

• Find the Greatest Common Divisor (GCD) of $225$ and $162$. The GCD of $225$ and $162$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 9}{162 \div 9} = \frac{25}{18}$

Answer $\frac{75}{81}\div\frac{2}{3} = \frac{25}{18}$

The following animation demonstrates the divide-by,