To solve this equation, we will first simplify the expression on the left side of the equation.
(x-2)/3 * 3/5 = 2 1/12
First, distribute the 3/5 to (x-2):
3/5 * (x-2) = (3x - 6)/5
Now the equation becomes:
(3x - 6)/5 = 2 1/12
To convert 2 1/12 to an improper fraction, we multiply 2 by 12 and add 1 to get the numerator:
(2 * 12) + 1 = 24 + 1 = 25
Therefore, 2 1/12 = 25/12
So the equation is now:
(3x - 6)/5 = 25/12
To solve for x, we can cross multiply:
5 25 = 3 (3x - 6)
125 = 9x - 18
Adding 18 to both sides:
125 + 18 = 9x
143 = 9x
Divide by 9 to get x by itself:
143/9 = x
Therefore, x = 143/9 = 15.888888888 = 15 and 8/9
The solution to the equation is x = 15 and 8/9.
To solve this equation, we will first simplify the expression on the left side of the equation.
(x-2)/3 * 3/5 = 2 1/12
First, distribute the 3/5 to (x-2):
3/5 * (x-2) = (3x - 6)/5
Now the equation becomes:
(3x - 6)/5 = 2 1/12
To convert 2 1/12 to an improper fraction, we multiply 2 by 12 and add 1 to get the numerator:
(2 * 12) + 1 = 24 + 1 = 25
Therefore, 2 1/12 = 25/12
So the equation is now:
(3x - 6)/5 = 25/12
To solve for x, we can cross multiply:
5 25 = 3 (3x - 6)
125 = 9x - 18
Adding 18 to both sides:
125 + 18 = 9x
143 = 9x
Divide by 9 to get x by itself:
143/9 = x
Therefore, x = 143/9 = 15.888888888 = 15 and 8/9
The solution to the equation is x = 15 and 8/9.