What is 76/81 Divided By 4/9

Solving $\frac{76}{81}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{81} \div \frac{4}{9} = \frac{76}{81} \times \frac{9}{4}$

• Multiply the Numerators: $76 \times 9 = 684$
• Multiply the Denominators: $81 \times 4 = 324$
• Form the New Fraction: $\frac{76}{81} \times \frac{4}{9} = \frac{684}{324}$

Let's Simplify $\frac{684}{324}$

• Find the Greatest Common Divisor (GCD) of $684$ and $324$. The GCD of $684$ and $324$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{684 \div 36}{324 \div 36} = \frac{19}{9}$

Answer $\frac{76}{81}\div\frac{4}{9} = \frac{19}{9}$

The following animation demonstrates the divide-by,