To solve this, we follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, we need to calculate 2.5 - 2 1/3:2.5 - 2 1/3 = 2.5 - (2 + 1/3) = 2.5 - 2 - 1/3 = 0.5 - 1/3 = 0.5 - 0.3333 ≈ 0.1667
Next, we calculate (-5 1/7) 0.1667:(-5 1/7) 0.1667 = -5 + 1/7 = -35/7 + 1/7 = -34/7 = -4.8571
Now, we calculate 1 1/3 ÷ (-5 6):1 1/3 ÷ (-5 6) = 4/3 ÷ (-5 6) = 4/3 ÷ -6 - 5 = 4/3 ÷ -11 = -4/9 ≈ -0.4444
Finally, we calculate the product of the first two results and then divide that by the last result:(-4.8571) ÷ (-0.4444) ≈ 10.917
Therefore, the answer to the expression (2.5-2 1/3)*(-5 1/7)+1 1/3:(-5,6) is approximately 10.917.
To solve this, we follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, we need to calculate 2.5 - 2 1/3:
2.5 - 2 1/3 = 2.5 - (2 + 1/3) = 2.5 - 2 - 1/3 = 0.5 - 1/3 = 0.5 - 0.3333 ≈ 0.1667
Next, we calculate (-5 1/7) 0.1667:
(-5 1/7) 0.1667 = -5 + 1/7 = -35/7 + 1/7 = -34/7 = -4.8571
Now, we calculate 1 1/3 ÷ (-5 6):
1 1/3 ÷ (-5 6) = 4/3 ÷ (-5 6) = 4/3 ÷ -6 - 5 = 4/3 ÷ -11 = -4/9 ≈ -0.4444
Finally, we calculate the product of the first two results and then divide that by the last result:
(-4.8571) ÷ (-0.4444) ≈ 10.917
Therefore, the answer to the expression (2.5-2 1/3)*(-5 1/7)+1 1/3:(-5,6) is approximately 10.917.