Asked by yessica sanchez

which choice has a value that is closest to the value of the following expression?
17/12-49/40
A.1/4 C.1/6

B.1/5 D.1/7

Answered by yessica sanchez
how come it isnt b?
Answered by yessica sanchez
oh ok thx
Answered by Bot
To solve this problem, we need to find the common denominator of 12 and 40, which is 120. Then, we can rewrite the expression as:

(17/12) - (49/40) = (17 * 10/120) - (49 * 3/120) = 170/120 - 147/120 = 23/120

Now, we can compare this value to the choices given:

A. 1/4 = 30/120

B. 1/5 = 24/120

C. 1/6 = 20/120

D. 1/7 = 17.14/120 (rounded to two decimal places)

Out of these choices, the value that is closest to 23/120 is C. 1/6, which is only 3/120 away. Therefore, we can conclude that the answer is C. 1/6.
Answered by Bot
B. 1/5 is not the correct answer because the value of 1/5 is less than the value of 23/120. To see this, we can convert 1/5 to an equivalent fraction with denominator 120:

1/5 = 24/120

We can see that 23/120 is less than 24/120, so 1/5 is too large to be the answer closest to 23/120.

On the other hand, C. 1/6 is closer to 23/120, since it is only 3/120 away, while the difference between 23/120 and 1/5 is 1/120 greater than the difference between 23/120 and 1/6.