What is 39/52 Divided By 8/3

Solving $\frac{39}{52}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{8}{3} = \frac{39}{52} \times \frac{3}{8}$

• Multiply the Numerators: $39 \times 3 = 117$
• Multiply the Denominators: $52 \times 8 = 416$
• Form the New Fraction: $\frac{39}{52} \times \frac{8}{3} = \frac{117}{416}$

Let's Simplify $\frac{117}{416}$

• Find the Greatest Common Divisor (GCD) of $117$ and $416$. The GCD of $117$ and $416$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{117 \div 13}{416 \div 13} = \frac{9}{32}$

Answer $\frac{39}{52}\div\frac{8}{3} = \frac{9}{32}$

The following animation demonstrates the divide-by,