What is 54/75 Divided By 3/4

Solving $\frac{54}{75}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{75} \div \frac{3}{4} = \frac{54}{75} \times \frac{4}{3}$

• Multiply the Numerators: $54 \times 4 = 216$
• Multiply the Denominators: $75 \times 3 = 225$
• Form the New Fraction: $\frac{54}{75} \times \frac{3}{4} = \frac{216}{225}$

Let's Simplify $\frac{216}{225}$

• Find the Greatest Common Divisor (GCD) of $216$ and $225$. The GCD of $216$ and $225$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 9}{225 \div 9} = \frac{24}{25}$

Answer $\frac{54}{75}\div\frac{3}{4} = \frac{24}{25}$

The following animation demonstrates the divide-by,