What is 75/17 Divided By 6/8

Solving $\frac{75}{17}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{17} \div \frac{6}{8} = \frac{75}{17} \times \frac{8}{6}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $17 \times 6 = 102$
• Form the New Fraction: $\frac{75}{17} \times \frac{6}{8} = \frac{600}{102}$

Let's Simplify $\frac{600}{102}$

• Find the Greatest Common Divisor (GCD) of $600$ and $102$. The GCD of $600$ and $102$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 6}{102 \div 6} = \frac{100}{17}$

Answer $\frac{75}{17}\div\frac{6}{8} = \frac{100}{17}$

The following animation demonstrates the divide-by,