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
A. Negative 3
B. Negative 2 and one-half
C. 7
D. 7 and one-half

Answer 1

To find the value of the expression (34/8 - 16/3) - 14/9, we need to simplify each fraction separately.

First, we simplify 34/8. Dividing 34 by 8 gives us 4.25.

Next, we simplify 16/3. Dividing 16 by 3 gives us 5.33 recurring (or 5.333...), which we can round to 5.33.

Finally, we simplify 14/9. Dividing 14 by 9 gives us 1.555 recurring (or 1.555...), which we can round to 1.56.

Now, substituting these simplified values back into the expression, we have:

4.25 - 5.33 - 1.56 = -2.64.

Therefore, the best estimate for the value of the expression is negative 2 and sixty-four hundredths, or approximately negative 2.64.

So, the answer is not one of the given options.