What is 17/75 Divided By 9/6

Solving $\frac{17}{75}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{75} \div \frac{9}{6} = \frac{17}{75} \times \frac{6}{9}$

• Multiply the Numerators: $17 \times 6 = 102$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{17}{75} \times \frac{9}{6} = \frac{102}{675}$

Let's Simplify $\frac{102}{675}$

• Find the Greatest Common Divisor (GCD) of $102$ and $675$. The GCD of $102$ and $675$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{102 \div 3}{675 \div 3} = \frac{34}{225}$

Answer $\frac{17}{75}\div\frac{9}{6} = \frac{34}{225}$

The following animation demonstrates the divide-by,