To solve the equation \( C - \frac{1}{4} = 2 \) using inverse operations, follow these steps:
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Identify the operation: The operation done to \( C \) is subtraction (subtracting \( \frac{1}{4} \)).
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Use the inverse operation: The inverse operation of subtraction is addition. So, you will add \( \frac{1}{4} \) to both sides of the equation.
\[ C - \frac{1}{4} + \frac{1}{4} = 2 + \frac{1}{4} \]
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Simplify both sides: On the left side, \( -\frac{1}{4} + \frac{1}{4} = 0\), so we have:
\[ C = 2 + \frac{1}{4} \]
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Convert \( 2 \) into a fraction for easier addition:
\[ 2 = \frac{8}{4} \quad (\text{since } 2 = \frac{8}{4}) \]
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Now add the fractions:
\[ C = \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \]
So, the solution is:
\[ C = \frac{9}{4} \]