3/4t-5/6=2/3t
Do you mean
(3/4)t - 5/6 = (2/3)t
if so then to write it your way is
3 t / 4 - 5/6 = 2 t / 3
If you really mean t in the denominator, we can do that but I doubt if that is what you mean.
sure
i don't mean that
If you mean this:
3 t / 4 - 5/6 = 2 t / 3
then multiply all terms on both sides by 12 which is the LCD
9 t - 10 = 8 t
t = 10
To solve the equation 3/4t - 5/6 = 2/3t, we need to isolate the variable 't'. Here's how to do it step by step:
Step 1: Combine like terms
Combine the fractions on both sides of the equation. To do this, we need to find a common denominator for the fractions involved. In this case, the common denominator is 12.
(9/12)t - (10/12) = (8/12)t
Step 2: Simplify and rearrange terms
Combine the 't' terms on the left side of the equation and move the constant term to the other side.
(9/12)t - (8/12)t = 10/12
(1/12)t = 10/12
Step 3: Solve for 't'
To solve for 't', we need to isolate it. Multiply both sides of the equation by the reciprocal of the coefficient of 't', which is 12/1.
(12/1) * (1/12)t = (12/1) * (10/12)
t = 120/12
Step 4: Simplify the result
Divide the numerator by the denominator to get the simplified form,
t = 10
So the solution to the equation 3/4t - 5/6 = 2/3t is t = 10.