What is 39/52 Divided By 4/8

Solving $\frac{39}{52}\div\frac{4}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{4}{8} = \frac{39}{52} \times \frac{8}{4}$

• Multiply the Numerators: $39 \times 8 = 312$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{39}{52} \times \frac{4}{8} = \frac{312}{208}$

Let's Simplify $\frac{312}{208}$

• Find the Greatest Common Divisor (GCD) of $312$ and $208$. The GCD of $312$ and $208$ is $104$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 104}{208 \div 104} = \frac{3}{2}$

Answer $\frac{39}{52}\div\frac{4}{8} = \frac{3}{2}$

The following animation demonstrates the divide-by,