What is 54/75 Divided By 8/6

Solving $\frac{54}{75}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{75} \div \frac{8}{6} = \frac{54}{75} \times \frac{6}{8}$

• Multiply the Numerators: $54 \times 6 = 324$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{54}{75} \times \frac{8}{6} = \frac{324}{600}$

Let's Simplify $\frac{324}{600}$

• Find the Greatest Common Divisor (GCD) of $324$ and $600$. The GCD of $324$ and $600$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{324 \div 12}{600 \div 12} = \frac{27}{50}$

Answer $\frac{54}{75}\div\frac{8}{6} = \frac{27}{50}$

The following animation demonstrates the divide-by,