Answer:
see explanation
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
- 1 [tex]\frac{1}{17}[/tex] ( change to improper fraction )
= - [tex]\frac{18}{17}[/tex]
The reciprocal is then [tex]\frac{1}{-\frac{18}{17} }[/tex] = - [tex]\frac{17}{18}[/tex]
B
The reciprocal of - [tex]\frac{17}{18}[/tex] is - [tex]\frac{18}{17}[/tex]
The product of a number and its multiplicative inverse equal one , so
- [tex]\frac{17}{18}[/tex] × - [tex]\frac{18}{17}[/tex] = 1
Then (a) is the multiplicative inverse of (b)