Answer: 1/2x + 1/3
Explanation:
Given:
1/4(x) + 3/4(x) - 1/2(x) + 1 - 2/3
Step 1: Combine like terms
1/4(x) and 3/4(x) have a common denominator of 4. This means that you can add them together.
1/4(x) + 3/4(x) = 4/4(x) = x
Step 2: Find the common denominator of x in step 1 and combine like terms
x - 1/2(x) = 2/2(x) - 1/2(x)
Now that we have the common denominator of x, we can combine like terms. Its the same as adding or subtracting fractions without a variable. In this case, you must subtract 1/2(x) from 2/2(x).
2/2(x) - 1/2(x) = 1/2(x)
Step 3: Find the common denominator of the constants and combine like terms
1 - 2/3 = 3/3 - 2/3
Now combine like terms. Simply subtract 2/3 from 3/3.
3/3 - 2/3 = 1/3
Step 4: Write the simplified equation
1/2(x) + 1/3
This is the answer