The negative reciprocal of -5/8 is: A. -5/8 B. 5/8 C. 8/5 D. -8/5

Answer:
+ 8/5
Step-by-step explanation:
Reciprocal is flip
Take the negative flip
- ( - 1 /(5/8))
+ 8/5
Answer:
8/5
Step-by-step explanation:
The reciprocal of a number is 1/that number.
So, the reciprocal of -5/8 is [tex]1/\frac{-5}{8}[/tex]= 1 times 8/-5
8/-5 is the reciprocal of -5/8.
However, we are looking for the negative reciprocal.
So, multiply the number by negative 1.
[tex]\frac{8}{-5} (\frac{-1}{1}[/tex]) = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex]