Answer:2
Step-by-step explanation: To solve the equation -2 1/3x = -1 3/4, we need to isolate the variable x on one side and simplify the equation.
First, we need to convert both sides to have the same denominator. We can choose the least common multiple of 3 and 4, which is 12.
-2 1/3x = -1 3/4
-2 1/3 * 4/4 * x = -1 3/4 * 3/3
-8/3 x = -5 1/3
Next, we isolate x by dividing both sides by -8/3:
(-8/3) x / (-8/3) = -5 1/3 / (-8/3)
x = (5 1/3) / (8/3)
x = (5 1/3) * (3/8)
Finally, we simplify the fraction to get the final solution:
x = (5 1/3) * (3/8)
x = (5 * 3 + 1 * 3) / 8
x = 16 / 8
x = 2
Therefore, the solution to the equation -2 1/3x = -1 3/4 is x = 2.