What is 17/75 Divided By 8/3

Solving $\frac{17}{75}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{75} \div \frac{8}{3} = \frac{17}{75} \times \frac{3}{8}$

• Multiply the Numerators: $17 \times 3 = 51$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{17}{75} \times \frac{8}{3} = \frac{51}{600}$

Let's Simplify $\frac{51}{600}$

• Find the Greatest Common Divisor (GCD) of $51$ and $600$. The GCD of $51$ and $600$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{51 \div 3}{600 \div 3} = \frac{17}{200}$

Answer $\frac{17}{75}\div\frac{8}{3} = \frac{17}{200}$

The following animation demonstrates the divide-by,