What is 75/81 Divided By 3/9

Solving $\frac{75}{81}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{3}{9} = \frac{75}{81} \times \frac{9}{3}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $81 \times 3 = 243$
• Form the New Fraction: $\frac{75}{81} \times \frac{3}{9} = \frac{675}{243}$

Let's Simplify $\frac{675}{243}$

• Find the Greatest Common Divisor (GCD) of $675$ and $243$. The GCD of $675$ and $243$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 27}{243 \div 27} = \frac{25}{9}$

Answer $\frac{75}{81}\div\frac{3}{9} = \frac{25}{9}$

The following animation demonstrates the divide-by,