What is 48/52 Divided By 4/6

Solving $\frac{48}{52}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{52} \div \frac{4}{6} = \frac{48}{52} \times \frac{6}{4}$

• Multiply the Numerators: $48 \times 6 = 288$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{48}{52} \times \frac{4}{6} = \frac{288}{208}$

Let's Simplify $\frac{288}{208}$

• Find the Greatest Common Divisor (GCD) of $288$ and $208$. The GCD of $288$ and $208$ is $16$.
• Divide both the numerator and the denominator by the GCD:$\frac{288 \div 16}{208 \div 16} = \frac{18}{13}$

Answer $\frac{48}{52}\div\frac{4}{6} = \frac{18}{13}$

The following animation demonstrates the divide-by,