Please Solve: 1/3 - 5/6 = 1/x

2/6 - 5/6 = -3/6 = -1/2

So, solve this:
-1/2 = 1/x

2 = -x

x = ?

Is the answer -2?

Yes!

To solve the equation 1/3 - 5/6 = 1/x, we need to find the value of x.

Step 1: Find a common denominator
The denominators in this equation are 3, 6, and x. The lowest common denominator for 3 and 6 is 6. So, we'll rewrite the equation with a common denominator of 6:

2/6 - 5/6 = 1/x

Step 2: Combine the fractions
Now that we have a common denominator, we can subtract the fractions:

(2 - 5)/6 = 1/x

-3/6 = 1/x

Step 3: Simplify the fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3 in this case:

(-3 ÷ 3) / (6 ÷ 3) = 1/x

-1/2 = 1/x

Step 4: Solve for x
To solve for x, we can take the reciprocal of both sides. The reciprocal of -1/2 is -2/1 or -2:

x = -2

Therefore, the value of x that satisfies the equation 1/3 - 5/6 = 1/x is x = -2.