What is 39/52 Divided By 5/8

Solving $\frac{39}{52}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{5}{8} = \frac{39}{52} \times \frac{8}{5}$

• Multiply the Numerators: $39 \times 8 = 312$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{39}{52} \times \frac{5}{8} = \frac{312}{260}$

Let's Simplify $\frac{312}{260}$

• Find the Greatest Common Divisor (GCD) of $312$ and $260$. The GCD of $312$ and $260$ is $52$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 52}{260 \div 52} = \frac{6}{5}$

Answer $\frac{39}{52}\div\frac{5}{8} = \frac{6}{5}$

The following animation demonstrates the divide-by,