What is the best estimate for the value of the expression?

Question

(StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction
Negative 3
Negative 2 and one-half
7
7 and one-half

Answer 1

To find the best estimate for the value of the expression, we need to perform the calculations step by step.

First, let's simplify the expression within the parentheses:
(34/8 - 16/3) - 14/9

Next, we can simplify the subtraction inside the parentheses:
(4.25 - 5.33) - 1.56

Now we can subtract the two values inside parentheses:
(-1.08) - 1.56

Finally, we subtract -1.08 and 1.56:
-2.64

So the best estimate for the value of the expression is -2.64.

To match this result with the options given, we can say that the closest estimate is "Negative 2 and one-half."