Final Answer:
The number that is (5/6) of the way from -3(2/3) to 6(1/3) is approximately 2.42.
Step-by-step explanation:
To find the number that is (5/6) of the way from -3(2/3) to 6(1/3), we need to follow these steps:
1. Find the distance between -3(2/3) and 6(1/3). This can be done by finding the absolute difference between the two numbers.
Absolute difference = |x1 - x2|
Absolute difference = |-3(2/3) - 6(1/3)|
Absolute difference = |-9 + 4| = |-5| = 5
2. Find the distance that (5/6) of the way represents. This can be done by multiplying (5/6) with the distance found in step 1.
Distance that (5/6) represents = (5/6) * 5 = 5(5/6) = 8.33
3. Find the number that is (5/6) of the way from -3(2/3) by adding it to -3(2/3). This can be done by subtracting the distance that (5/6) represents from the distance between -3(2/3) and 6(1/3). Then, we add it to -3(2/3).
Number that is (5/6) of the way from -3(2/3) = -3(2/3) - (8.33 - (-5)) = -0.79
Approximately, Number that is (5/6) of the way from -3(2/3) = -0.79 ≈ -1 with a decimal point value of approximately 0.21. Therefore, our final answer is approximately 2.42.