SOLUTION: One sixth of a number minus one seventh of the same number is 1. What is the number? So far I have 1/6x-1/7x=1

Question 345969: One sixth of a number minus one seventh of the same number is 1. What is the number?
So far I have 1/6x-1/7x=1
Found 3 solutions by Fombitz, haileytucki, rfer:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
So far so good.
Multiply both sides by to get rid of the fractions.
Then solve for .
Answer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!
1=(1)/(6)*x-(1)/(7)*x
Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
(1)/(6)*x-(1)/(7)*x=1
Multiply (1)/(6) by x to get (x)/(6).
(x)/(6)-(1)/(7)*x=1
Multiply -(1)/(7) by x to get -(x)/(7).
(x)/(6)-(x)/(7)=1
Find the LCD (least common denominator) of (x)/(6)-(x)/(7)+1.
Least common denominator: 42
Multiply each term in the equation by 42 in order to remove all the denominators from the equation.
(x)/(6)*42-(x)/(7)*42=1*42
Simplify the left-hand side of the equation by canceling the common factors.
x=1*42
Multiply 1 by 42 to get 42.
x=42
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
keep going
7/42x-6/42x=1
1/42x=1
x=1/1*42/1
x=42
--------------------
1/6*42-1/7*42=1
42/6-42/7=1
294/42-252/42=42/42=1
RELATED QUESTIONS
one sixth of a number minus one seventh of the same number is 1. what is the number? (answered by Fombitz)
If one-sixth of a number is 1(1�3), find the number (answered by rvfer)
one-seventh of a number is 6 greater than the same number. what is the... (answered by nerdybill)
one-seventh the quantity of 2/5 minus a number is at least 1/6 the quantity of the number (answered by josgarithmetic)
One-sixth of a number is 5 more than the same number. What is the... (answered by checkley77)
A number, 1/5 of that number, and one sixth of that number are added. The result is 82.... (answered by josgarithmetic,MathLover1,MathTherapy)
Two less than one-sixth of a certain number is 1 more than one-fourth that number. What... (answered by checkley71)
Two less than one-sixth of a certain number is 1 more than one-fourth that number. What... (answered by fractalier)
One-third of a number is 2 more than one-sixth of the same number. What is the... (answered by checkley77)