help solving 4c divided by 2c minus 4 plus 2c divided by 4c minus 8
To solve the expression (4c / 2c - 4) + (2c / 4c - 8), we need to follow the correct order of operations, which is known as PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break down the expression step by step:
Step 1: Simplify the division within the parentheses on both sides of the addition symbol.
4c / 2c simplifies to 2.
2c / 4c simplifies to 1/2.
Now, the expression becomes 2 - 4 + 1/2 - 8.
Step 2: Combine like terms and perform any remaining operations.
2 - 4 equals -2.
1/2 - 8 can be rewritten with a common denominator as 1/2 - 16/2, which simplifies to -15/2.
Now, the expression becomes -2 + (-15/2).
Step 3: Add the values.
To add -2 and -15/2, we need to find a common denominator. Since -2 is equivalent to -4/2, the expression becomes -4/2 + (-15/2). Combining the values yields -19/2.
Therefore, the final solution is -19/2, which can also be expressed as -9.5.
Remember, always apply PEMDAS when solving arithmetic expressions, and take your time to simplify and combine like terms properly.