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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{5}{2} - \frac{vw}{4}$

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Add and subtract rational expressions

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

\newline

\frac{5}{2} - \frac{vw}{4}

Find Common Denominator: Identify the common denominator for the fractions. $\newline$ The fractions $\frac{5}{2}$ and $\frac{vw}{4}$ have different denominators. To combine them, we need to find a common denominator. The least common denominator (LCD) for $2$ and $4$ is $4$ .
Rewrite First Fraction: Rewrite the first fraction with the common denominator. $\newline$ To rewrite $\frac{5}{2}$ with a denominator of $4$ , we multiply both the numerator and the denominator by $2$ . $\newline$ $\left(\frac{5}{2}\right) \times \left(\frac{2}{2}\right) = \frac{10}{4}$
Combine Fractions: Combine the fractions. $\newline$ Now that both fractions have the same denominator, we can combine them. $\newline$ $\frac{10}{4} - \frac{vw}{4} = \frac{10 - vw}{4}$
Simplify Expression: Simplify the expression, if possible. $\newline$ The expression $(10 - vw)/4$ is already in its simplest form because the numerator and the denominator do not have any common factors other than $1$ .

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