(A) Simplify. Write your answer using whole numbers and variables. (2g^2h)/(24g^2)h square

To simplify the expression \(\frac{2g^2h}{24g^2h}\), follow these steps:<br /><br />1. **Cancel common factors in the numerator and denominator:**<br /> - The \(g^2h\) in the numerator and denominator can be canceled out because they are common factors.<br /><br /> \[<br /> \frac{2g^2h}{24g^2h} = \frac{2}{24}<br /> \]<br /><br />2. **Simplify the fraction \(\frac{2}{24}\):**<br /> - Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2.<br /><br /> \[<br /> \frac{2}{24} = \frac{2 \div 2}{24 \div 2} = \frac{1}{12}<br /> \]<br /><br />So, the simplified form of the given expression is:<br /><br />\[<br />\boxed{\frac{1}{12}}<br />\]