What is 54/75 Divided By 4/9

Solving $\frac{54}{75}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{75} \div \frac{4}{9} = \frac{54}{75} \times \frac{9}{4}$

• Multiply the Numerators: $54 \times 9 = 486$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{54}{75} \times \frac{4}{9} = \frac{486}{300}$

Let's Simplify $\frac{486}{300}$

• Find the Greatest Common Divisor (GCD) of $486$ and $300$. The GCD of $486$ and $300$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{486 \div 6}{300 \div 6} = \frac{81}{50}$

Answer $\frac{54}{75}\div\frac{4}{9} = \frac{81}{50}$

The following animation demonstrates the divide-by,