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