What is 52/85 Divided By 8/6

Solving $\frac{52}{85}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{85} \div \frac{8}{6} = \frac{52}{85} \times \frac{6}{8}$

• Multiply the Numerators: $52 \times 6 = 312$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{52}{85} \times \frac{8}{6} = \frac{312}{680}$

Let's Simplify $\frac{312}{680}$

• Find the Greatest Common Divisor (GCD) of $312$ and $680$. The GCD of $312$ and $680$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 8}{680 \div 8} = \frac{39}{85}$

Answer $\frac{52}{85}\div\frac{8}{6} = \frac{39}{85}$

The following animation demonstrates the divide-by,