Answer: YES, [tex]\dfrac{16}{10}[/tex] is the reciprocal of [tex]\dfrac{5}{8}.[/tex]
Step-by-step explanation: We are given to check whether [tex]\dfrac{16}{10}[/tex] is the reciprocal of [tex]\dfrac{5}{8}.[/tex]
We know that
two numbers a and b are reciprocal of each other if
[tex]a\times b = 1.[/tex]
We have
[tex]\dfrac{16}{10}\times\dfrac{5}{8}=\dfrac{8}{5}\times\dfrac{5}{8}=1.[/tex]
Therefore, [tex]\dfrac{16}{10}[/tex] is the reciprocal of [tex]\dfrac{5}{8}.[/tex]
The answer is YES.
