What is 38/52 Divided By 5/8

Solving $\frac{38}{52}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{52} \div \frac{5}{8} = \frac{38}{52} \times \frac{8}{5}$

• Multiply the Numerators: $38 \times 8 = 304$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{38}{52} \times \frac{5}{8} = \frac{304}{260}$

Let's Simplify $\frac{304}{260}$

• Find the Greatest Common Divisor (GCD) of $304$ and $260$. The GCD of $304$ and $260$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 4}{260 \div 4} = \frac{76}{65}$

Answer $\frac{38}{52}\div\frac{5}{8} = \frac{76}{65}$

The following animation demonstrates the divide-by,