If 1/3 is subtracted from 3 times the reciprocal
of a certain number, the result is 25/6. Find the
number.
Let x = the number
So the reciprocal of the number is 1/x
>>...If 1/3 is subtracted from 3 times the reciprocal
of a certain number, the result is 25/6...<<
Replace the words "the reciprocal of a certain number"
by 1/x
>>...If 1/3 is subtracted from 3 times 1/x, the result is 25/6...<<
Replace the words "3 times 1/x" by 3/x
>>...If 1/3 is subtracted from 3/x, the result is 25/6...<<
If we want to subtract 1/3 from 3/x, we write down 3/x and then
subtract 1/3 from it, like this: 3/x - 1/3, so we replace the words
"If 1/3 is subtracted from 3/x" by "3/x - 1/3":
>>...3/x - 1/3, the result is 25/6...<<
Finally replace the words ", the result is" by an equal sign " = "
>>...3/x - 1/3 = 25/6...<<
So that's the equation
3/x - 1/3 = 25/6
Can you solve this by multiplying through by the LCD which equals 6x?
If not, then post again asking how to solve that.
Answer: x = 2/3
Edwin
