What is 52/57 Divided By 8/3

Solving $\frac{52}{57}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{57} \div \frac{8}{3} = \frac{52}{57} \times \frac{3}{8}$

• Multiply the Numerators: $52 \times 3 = 156$
• Multiply the Denominators: $57 \times 8 = 456$
• Form the New Fraction: $\frac{52}{57} \times \frac{8}{3} = \frac{156}{456}$

Let's Simplify $\frac{156}{456}$

• Find the Greatest Common Divisor (GCD) of $156$ and $456$. The GCD of $156$ and $456$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{156 \div 12}{456 \div 12} = \frac{13}{38}$

Answer $\frac{52}{57}\div\frac{8}{3} = \frac{13}{38}$

The following animation demonstrates the divide-by,