Final answer:
To evaluate the expression 1/4 (16j-12) - 1/9 (18j+45), simplify each term separately and then subtract them. The final simplified expression is 2j - 8.
Step-by-step explanation:
To evaluate the expression 1/4 (16j-12) - 1/9 (18j+45), we need to simplify each term separately and then subtract them.
First, let's simplify 1/4 (16j-12). We distribute 1/4 to each term:
1/4 * 16j = 4j
1/4 * -12 = -3
So, 1/4 (16j-12) simplifies to 4j - 3.
Next, let's simplify 1/9 (18j+45). We distribute 1/9 to each term:
1/9 * 18j = 2j
1/9 * 45 = 5
So, 1/9 (18j+45) simplifies to 2j + 5.
Now, we subtract the two simplified terms: (4j - 3) - (2j + 5).
To subtract, we combine like terms:
4j - 2j = 2j
-3 - 5 = -8
Therefore, the simplified expression is 2j - 8.