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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{9c}{4} - 1$

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Simplify mixed rational expressions

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Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{9c}{4} - 1

Identify like fractions: Identify the like fractions. $\newline$ To combine the terms $\frac{9c}{4}$ and $-1$ , we need to express $-1$ as a fraction with a denominator of $4$ .
Convert to fraction: Convert the whole number to a fraction. $\newline$ To convert $-1$ to a fraction with a denominator of $4$ , we multiply it by $\frac{4}{4}$ which is equal to $1$ . $\newline$ $-1 \times \left(\frac{4}{4}\right) = -\frac{4}{4}$
Combine fractions: Combine the fractions. $\newline$ Now we have $\frac{9c}{4}$ and $-\frac{4}{4}$ . We can combine these fractions since they have the same denominator. $\newline$ $(\frac{9c}{4}) - (\frac{4}{4})$
Subtract numerators: Subtract the numerators. $\newline$ Subtract the numerators while keeping the common denominator. $\newline$ $(9c - 4)/4$
Check for simplification: Check if the fraction can be simplified. $\newline$ The fraction $(9c - 4)/4$ cannot be simplified further because the numerator and the denominator do not have any common factors other than $1$ .

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