What is 54/81 Divided By 5/2

Solving $\frac{54}{81}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{81} \div \frac{5}{2} = \frac{54}{81} \times \frac{2}{5}$

• Multiply the Numerators: $54 \times 2 = 108$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{54}{81} \times \frac{5}{2} = \frac{108}{405}$

Let's Simplify $\frac{108}{405}$

• Find the Greatest Common Divisor (GCD) of $108$ and $405$. The GCD of $108$ and $405$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 27}{405 \div 27} = \frac{4}{15}$

Answer $\frac{54}{81}\div\frac{5}{2} = \frac{4}{15}$

The following animation demonstrates the divide-by,