Simplify the following expression. (3m/4-2)+9
A. 3m+28/4
B. m+9/4
C. 3m+24/4
D. 8m/4
Please help. I got 3m/4+7 I'm not sure what I got wrong, do I use a different formula or something..?
To simplify the expression (3m/4-2)+9, we first simplify the expression within the parentheses:
(3m/4-2)+9 = (3m/4 - 2) + 9
Then, we combine like terms:
= 3m/4 - 2 + 9
= (3m/4) + (9 - 2)
= 3m/4 + 7
Therefore, the simplified expression is 3m/4 + 7, not 3m/4 + 28/4.
So, the correct answer is not among the options you provided.
To simplify the expression (3m/4-2)+9, you need to follow the order of operations (PEMDAS/BODMAS). First, let's simplify the expression within the parentheses:
(3m/4 - 2) + 9
Next, we simplify the subtraction inside the parentheses:
3m/4 - 2 + 9
We can't combine the 3m/4 and -2 directly since they have different denominators. To combine them, we need to find a common denominator.
The common denominator can be found by multiplying the denominators, which are 4 and 1:
4 * 1 = 4
Now, we convert -2 to an equivalent fraction with the denominator of 4:
-2 * 4/4 = -8/4
Now, we can combine the fractions:
3m/4 - 8/4 + 9
Simplifying further:
(3m - 8 + 36)/4
Combining the numbers:
(3m + 28)/4
Therefore, the simplified expression is (3m + 28)/4. So, the correct answer is A.