What is 39/52 Divided By 4/6

Solving $\frac{39}{52}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{4}{6} = \frac{39}{52} \times \frac{6}{4}$

• Multiply the Numerators: $39 \times 6 = 234$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{39}{52} \times \frac{4}{6} = \frac{234}{208}$

Let's Simplify $\frac{234}{208}$

• Find the Greatest Common Divisor (GCD) of $234$ and $208$. The GCD of $234$ and $208$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{234 \div 26}{208 \div 26} = \frac{9}{8}$

Answer $\frac{39}{52}\div\frac{4}{6} = \frac{9}{8}$

The following animation demonstrates the divide-by,