Questions: 18 x^2 / 60 x

Solution Steps

We start with the expression $\frac{18 x^{2}}{60 x}$.

The numerator $18 x^{2}$ can be factored as $18 \cdot x \cdot x$ and the denominator $60 x$ can be factored as $60 \cdot x$.

We can cancel the common factor of $x$ from the numerator and denominator, leading to: $$\frac{18 x}{60}$$

Next, we simplify the coefficients $\frac{18}{60}$. The greatest common divisor (GCD) of 18 and 60 is 6, so we divide both the numerator and the denominator by 6: $$\frac{18 \div 6}{60 \div 6} = \frac{3}{10}$$

After simplification, we combine the results to obtain the final expression: $$\frac{3 x}{10}$$

Final Answer