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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{6s}{5} - 5s$

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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{6s}{5} - 5s

Write Common Denominator: Write the expression with a common denominator. $\newline$ Since $5s$ can be written as $(5s/1)$ , we need to find a common denominator for the two terms, which is $5$ . We can rewrite $5s$ as $(5s \times 5)/5$ to have the same denominator as the first term.
Perform Multiplication: Perform the multiplication to express $5s$ with the common denominator. $\newline$ $(5s \times 5)/5 = (25s)/5$ $\newline$ Now we have two terms with the same denominator: $\newline$ $(6s/5) - (25s/5)$
Subtract Numerators: Subtract the numerators and keep the common denominator. $\newline$ $(6s - 25s)/5$ $\newline$ Now perform the subtraction in the numerator.
Simplify Numerator: Simplify the numerator. $\newline$ $6s - 25s = -19s$ $\newline$ So the expression becomes: $\newline$ $(-19s)/5$

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