What is 76/81 Divided By 2/9

Solving $\frac{76}{81}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{81} \div \frac{2}{9} = \frac{76}{81} \times \frac{9}{2}$

• Multiply the Numerators: $76 \times 9 = 684$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{76}{81} \times \frac{2}{9} = \frac{684}{162}$

Let's Simplify $\frac{684}{162}$

• Find the Greatest Common Divisor (GCD) of $684$ and $162$. The GCD of $684$ and $162$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{684 \div 18}{162 \div 18} = \frac{38}{9}$

Answer $\frac{76}{81}\div\frac{2}{9} = \frac{38}{9}$

The following animation demonstrates the divide-by,