What is 54/81 Divided By 9/4

Solving $\frac{54}{81}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{81} \div \frac{9}{4} = \frac{54}{81} \times \frac{4}{9}$

• Multiply the Numerators: $54 \times 4 = 216$
• Multiply the Denominators: $81 \times 9 = 729$
• Form the New Fraction: $\frac{54}{81} \times \frac{9}{4} = \frac{216}{729}$

Let's Simplify $\frac{216}{729}$

• Find the Greatest Common Divisor (GCD) of $216$ and $729$. The GCD of $216$ and $729$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 27}{729 \div 27} = \frac{8}{27}$

Answer $\frac{54}{81}\div\frac{9}{4} = \frac{8}{27}$

The following animation demonstrates the divide-by,