What is 34/75 Divided By 8/6

Solving $\frac{34}{75}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{75} \div \frac{8}{6} = \frac{34}{75} \times \frac{6}{8}$

• Multiply the Numerators: $34 \times 6 = 204$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{34}{75} \times \frac{8}{6} = \frac{204}{600}$

Let's Simplify $\frac{204}{600}$

• Find the Greatest Common Divisor (GCD) of $204$ and $600$. The GCD of $204$ and $600$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{204 \div 12}{600 \div 12} = \frac{17}{50}$

Answer $\frac{34}{75}\div\frac{8}{6} = \frac{17}{50}$

The following animation demonstrates the divide-by,