What is 75/81 Divided By 2/6

Solving $\frac{75}{81}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{81} \div \frac{2}{6} = \frac{75}{81} \times \frac{6}{2}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{75}{81} \times \frac{2}{6} = \frac{450}{162}$

Let's Simplify $\frac{450}{162}$

• Find the Greatest Common Divisor (GCD) of $450$ and $162$. The GCD of $450$ and $162$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 18}{162 \div 18} = \frac{25}{9}$

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

The following animation demonstrates the divide-by,