3x-7 over 12
The expression (3x - 7) divided by 12 can be written as:
(3x - 7)/12
To simplify the expression (3x - 7) / 12, you can follow these steps:
Step 1: Start with the given expression: (3x - 7) / 12.
Step 2: Distribute the division symbol over the terms inside the parentheses: 3x / 12 - 7 / 12.
Step 3: Simplify each term separately.
For the first term, 3x / 12:
Divide the numerator (3x) by the denominator (12): (3x) / (12) = x / 4.
For the second term, -7 / 12:
Keep the numerator as negative and divide it by the denominator: (-7) / (12).
So, the simplified expression becomes x / 4 - 7 / 12.
Step 4: To combine the two terms, find a common denominator. The least common multiple of 4 and 12 is 12.
For x / 4, multiply the numerator and denominator by 3 (to get a denominator of 12): (x * 3) / (4 * 3) = 3x / 12.
For -7 / 12, the denominator is already 12.
So, the expression becomes 3x / 12 - 7 / 12 = (3x - 7) / 12.
Therefore, the simplified form of (3x - 7) / 12 is (3x - 7) / 12.