which expressions are equivalent to $\frac{k}{2}$? choose 2 answers: a $k - 2$ b $\frac{2}{k}$ c…

Explanation:

Step1: Recall division - fraction relationship

Division by a number is equivalent to multiplication by its reciprocal. $\frac{k}{2}$ can be written as $k\div2$. Also, $\frac{k}{2}$ is the same as $\frac{1}{2}\times k$ or $\frac{1}{2}k$.

Step2: Analyze each option

• Option A: $k - 2$ is subtraction, not equivalent to $\frac{k}{2}$.
• Option B: $\frac{2}{k}$ is the reciprocal of $\frac{k}{2}$, not equivalent.
• Option C: $\frac{1}{2}k=\frac{k}{2}$, equivalent.
• Option D: $k\div2=\frac{k}{2}$, equivalent.
• Option E: $k + k = 2k$, not equivalent.

Answer:

C. $\frac{1}{2}k$, D. $k\div2$