4x-3/6-8x-2/12
Combine like terms.
3/6 = 6/12
To simplify the expression 4x - 3/6 - 8x - 2/12, we need to combine like terms by adding or subtracting them. Let's break it down step by step:
Step 1: Simplify the fractions
The fractions in the expression, 3/6 and 2/12, have different denominators. To add or subtract them, we need a common denominator. The least common multiple (LCM) of 6 and 12 is 12.
To make the fraction 3/6 have a denominator of 12, we need to multiply both the numerator and denominator by 2: 3/6 * 2/2 = 6/12.
Now our expression becomes: 4x - 6/12 - 8x - 2/12.
Step 2: Combine like terms
Combine the terms with "x" and the constant terms separately:
For "x" terms: 4x - 8x = -4x.
For constant terms: -6/12 - 2/12 = -8/12.
The expression now becomes: -4x - 8/12.
Step 3: Simplify the fraction further (if necessary)
Since -8/12 can be simplified, we divide both the numerator and denominator by their greatest common divisor, which is 4:
-8/12 รท 4/4 = -2/3.
Therefore, the final simplified expression is: -4x - 2/3.