Solve using inverse operations

C - 1/4 = 2

1 answer

To solve the equation \( C - \frac{1}{4} = 2 \) using inverse operations, follow these steps:

  1. Identify the operation: The operation done to \( C \) is subtraction (subtracting \( \frac{1}{4} \)).

  2. Use the inverse operation: The inverse operation of subtraction is addition. So, you will add \( \frac{1}{4} \) to both sides of the equation.

    \[ C - \frac{1}{4} + \frac{1}{4} = 2 + \frac{1}{4} \]

  3. Simplify both sides: On the left side, \( -\frac{1}{4} + \frac{1}{4} = 0\), so we have:

    \[ C = 2 + \frac{1}{4} \]

  4. Convert \( 2 \) into a fraction for easier addition:

    \[ 2 = \frac{8}{4} \quad (\text{since } 2 = \frac{8}{4}) \]

  5. Now add the fractions:

    \[ C = \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \]

So, the solution is:

\[ C = \frac{9}{4} \]