What is 34/75 Divided By 8/1

Solving $\frac{34}{75}\div\frac{8}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{75} \div \frac{8}{1} = \frac{34}{75} \times \frac{1}{8}$

• Multiply the Numerators: $34 \times 1 = 34$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{34}{75} \times \frac{8}{1} = \frac{34}{600}$

Let's Simplify $\frac{34}{600}$

• Find the Greatest Common Divisor (GCD) of $34$ and $600$. The GCD of $34$ and $600$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{34 \div 2}{600 \div 2} = \frac{17}{300}$

Answer $\frac{34}{75}\div\frac{8}{1} = \frac{17}{300}$

The following animation demonstrates the divide-by,