What is 54/75 Divided By 9/2

Solving $\frac{54}{75}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{75} \div \frac{9}{2} = \frac{54}{75} \times \frac{2}{9}$

• Multiply the Numerators: $54 \times 2 = 108$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{54}{75} \times \frac{9}{2} = \frac{108}{675}$

Let's Simplify $\frac{108}{675}$

• Find the Greatest Common Divisor (GCD) of $108$ and $675$. The GCD of $108$ and $675$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 27}{675 \div 27} = \frac{4}{25}$

Answer $\frac{54}{75}\div\frac{9}{2} = \frac{4}{25}$

The following animation demonstrates the divide-by,