4)Simplify. Express your answer as a single fraction in simplest form. 9c-1-(d)/(5) square

To simplify the expression \(9c - 1 - \frac{d}{5}\) and express it as a single fraction in simplest form, follow these steps:<br /><br />1. Identify the common denominator for the terms in the expression. In this case, the common denominator is 5.<br /><br />2. Rewrite each term with the common denominator:<br /> - The term \(9c\) can be written as \(\frac{45c}{5}\).<br /> - The term \(-1\) can be written as \(\frac{-5}{5}\).<br /> - The term \(-\frac{d}{5}\) is already in the form with the common denominator.<br /><br />3. Combine the fractions:<br /> \[<br /> \frac{45c}{5} - \frac{5}{5} - \frac{d}{5}<br /> \]<br /><br />4. Since the denominators are the same, combine the numerators:<br /> \[<br /> \frac{45c - 5 - d}{5}<br /> \]<br /><br />5. Simplify the numerator if possible. In this case, the numerator \(45c - 5 - d\) cannot be simplified further.<br /><br />Therefore, the simplified expression as a single fraction in simplest form is:<br />\[<br />\boxed{\frac{45c - 5 - d}{5}}<br />\]