Four times the reciprocal of a number equals 8 times the reciprocal of 24. Find the number

Question

Four times the reciprocal of a number equals 8 times the reciprocal of 24. Find the number

Answer 1

the best way to do this is to break it down. the first part says, four times the reciprocal of a number. this can be translated to:

4* (1/x)

the second part is 8 times the reciprocal of 24. this translates to:

8*(1/24)

so now we just set these equal to each other and solve for x.

4*(1/x) = 8*(1/24)

4*(1/x) = 8*(.04167)

4*(1/x) = .3333

1/x = .08333

x = 12

Or... if you prefer to continue looking at it as fractions:

4*(1/x) = 8* (1/24)

4*(1/x) = 8/24

4*(1/x) = 1/3

1/x = 1/12

x = 12