Question

which two expressions are equivalent to $\frac{-3}{7}$?
$square a\frac{3}{7}$
$square b\frac{-3}{-7}$
$square c - (\frac{3}{7})$
$square d -(\frac{-3}{-7})$
$square e -(\frac{3}{-7})$

Explanation:

Step1: Analyze the given fraction

The given fraction is $\frac{-3}{7}$, which is equivalent to $-\frac{3}{7}$.

Step2: Analyze option A

Option A is $\frac{3}{7}$, which is not equivalent to $\frac{-3}{7}$.

Step3: Analyze option B

$\frac{-3}{-7}=\frac{3}{7}$, not equivalent to $\frac{-3}{7}$.

Step4: Analyze option C

$-(\frac{3}{7})=-\frac{3}{7}$, equivalent to $\frac{-3}{7}$.

Step5: Analyze option D

$-(\frac{-3}{-7})=-(\frac{3}{7})=-\frac{3}{7}$, equivalent to $\frac{-3}{7}$.

Step6: Analyze option E

$-(\frac{3}{-7})=\frac{3}{7}$, not equivalent to $\frac{-3}{7}$.

Answer:

C. $-(\frac{3}{7})$, D. $-(\frac{-3}{-7})$