What is 54/52 Divided By 4/6

Solving $\frac{54}{52}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{52} \div \frac{4}{6} = \frac{54}{52} \times \frac{6}{4}$

• Multiply the Numerators: $54 \times 6 = 324$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{54}{52} \times \frac{4}{6} = \frac{324}{208}$

Let's Simplify $\frac{324}{208}$

• Find the Greatest Common Divisor (GCD) of $324$ and $208$. The GCD of $324$ and $208$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{324 \div 4}{208 \div 4} = \frac{81}{52}$

Answer $\frac{54}{52}\div\frac{4}{6} = \frac{81}{52}$

The following animation demonstrates the divide-by,