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 sort of confused on what to do.
To simplify the expression (3m/4 - 2) + 9, you need to perform the operations in the correct order.
First, simplify the expression inside the parentheses.
(3m/4 - 2) + 9 = (3m/4 - 2/1) + 9
Next, find a common denominator for the fractions within the expression. The common denominator for 4 and 1 is 4. Rewrite the expression using the common denominator.
(3m/4 - 2/1) + 9 = (3m/4 - 2/1) + (9*4/4)
Now, you can combine like terms within the expression.
= (3m/4) - (2/4) + 36/4
= (3m - 2 + 36) / 4
= (3m + 34) / 4
Therefore, the simplified expression is (3m + 34) / 4, so the correct answer is option C. 3m + 34/4.
To simplify the given expression (3m/4 - 2) + 9, we can follow the order of operations (PEMDAS/BODMAS).
Step 1: Start by simplifying the expression inside the parentheses.
(3m/4 - 2) + 9
There are no like terms to simplify within the parentheses, so we can leave it as it is for now.
Step 2: Perform the addition/subtraction operations from left to right.
(3m/4 - 2) + 9
To combine the addition, we add the terms within the brackets:
3m/4 + 9
Step 3: Find a common denominator for the fractions, if possible.
3m/4 + 9
Since 9 is a whole number, we can rewrite it as 9/1 to make it a fraction:
3m/4 + 9/1
The common denominator for 4 and 1 is 4, so we need to rewrite 9/1 as an equivalent fraction with a denominator of 4:
3m/4 + 9/1 = 3m/4 + (9/1) * (4/4) = 3m/4 + 36/4
Step 4: Combine the fractions:
3m/4 + 36/4 = (3m + 36)/4
Therefore, the simplified expression is (3m + 36)/4.
None of the provided answer choices match this result, so it seems there might be an error in the options list.