Answer :
To simplify the expression [tex]\(\frac{s}{9} - 4s\)[/tex], follow these steps:
1. Factor Out the Common Variable: Look at both terms in the expression. The variable "s" is common in both terms, so you can factor it out. The expression can be rewritten as:
[tex]\[
s \left( \frac{1}{9} - 4 \right)
\][/tex]
2. Simplify the Expression Inside the Parentheses: Next, you need to simplify the expression inside the parentheses:
[tex]\[
\frac{1}{9} - 4
\][/tex]
To perform this calculation, convert 4 into a fraction with a denominator of 9:
[tex]\[
4 = \frac{36}{9}
\][/tex]
Now, subtract the fractions:
[tex]\[
\frac{1}{9} - \frac{36}{9} = \frac{1 - 36}{9} = \frac{-35}{9}
\][/tex]
3. Write the Final Simplified Expression: Substitute the simplified fraction back into the expression:
[tex]\[
s \left( \frac{-35}{9} \right) = \frac{-35s}{9}
\][/tex]
Therefore, when you simplify [tex]\(\frac{s}{9} - 4s\)[/tex], the result is [tex]\(\frac{-35s}{9}\)[/tex]. The numerical result is approximately [tex]\(-3.888889\)[/tex].
1. Factor Out the Common Variable: Look at both terms in the expression. The variable "s" is common in both terms, so you can factor it out. The expression can be rewritten as:
[tex]\[
s \left( \frac{1}{9} - 4 \right)
\][/tex]
2. Simplify the Expression Inside the Parentheses: Next, you need to simplify the expression inside the parentheses:
[tex]\[
\frac{1}{9} - 4
\][/tex]
To perform this calculation, convert 4 into a fraction with a denominator of 9:
[tex]\[
4 = \frac{36}{9}
\][/tex]
Now, subtract the fractions:
[tex]\[
\frac{1}{9} - \frac{36}{9} = \frac{1 - 36}{9} = \frac{-35}{9}
\][/tex]
3. Write the Final Simplified Expression: Substitute the simplified fraction back into the expression:
[tex]\[
s \left( \frac{-35}{9} \right) = \frac{-35s}{9}
\][/tex]
Therefore, when you simplify [tex]\(\frac{s}{9} - 4s\)[/tex], the result is [tex]\(\frac{-35s}{9}\)[/tex]. The numerical result is approximately [tex]\(-3.888889\)[/tex].
