To solve the equation [tex]\( \frac{n}{\frac{1}{2}} = 13.5 \)[/tex], follow these steps:
1. Understand the equation: The given equation involves division of [tex]\( n \)[/tex] by [tex]\( \frac{1}{2} \)[/tex].
2. Simplify the division by a fraction: Dividing by [tex]\( \frac{1}{2} \)[/tex] is equivalent to multiplying by 2. Therefore, the equation [tex]\( \frac{n}{\frac{1}{2}} = 13.5 \)[/tex] can be rewritten as:
[tex]\[ n \times 2 = 13.5 \][/tex]
3. Solve for [tex]\( n \)[/tex]: To isolate [tex]\( n \)[/tex] on one side of the equation, divide both sides by 2:
[tex]\[ n = 13.5 \times 2 \][/tex]
4. Multiply to find the value of [tex]\( n \)[/tex]:
[tex]\[ n = 27.0 \][/tex]
Thus, the value of [tex]\( n \)[/tex] is [tex]\( 27 \)[/tex]. Therefore, the correct answer is:
(b) 27
