Search 82,201 tutors
FIND TUTORS
Ask a question
0 0

Eight times the reciprocal of a number equals 2 times the reciprocal of 4. What is the number?

Tutors, please sign in to answer this question.

2 Answers

To begin this problem, you have to know what the reciprocal of a number means. The reciprocal of a number means one over said number. So the reciprocal of 4 would be 1/4 or .25.
 
So 2*.25=.5
 
From the beginning portion of the word problem, we know that 8*(1/x) equals .5.
 
Divide both sides by 8 and you get (1/x)=.0625 which is 1/16. So x equals 16.
 
To make sure we are right, we can plug x back into the equation.
 
8*(1/16)=2*(1/4)
.5=.5 So we are correct.