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