To solve for A in the equation A = 5 - \(\frac{1}{13}\), we need to simplify the right-hand side.
Start with the calculation: \[ 5 - \frac{1}{13} \] First, convert 5 to a fraction with a denominator of 13: \[ 5 = \frac{65}{13} \] Now, perform the subtraction: \[ \frac{65}{13} - \frac{1}{13} = \frac{64}{13} \]
So, A = \(\frac{64}{13}\).
Now, let’s check each option to see which one is equal to \(\frac{64}{13}\):
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\(A = \frac{123}{13} - \frac{1}{3}\): \(\frac{123}{13} = 9.4615\) and \(- \frac{1}{3} = -0.3333\) (not equal).
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\(A = -\frac{123}{13} + \frac{1}{3}\): This would give a negative value (not equal).
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\(A = \frac{123}{13} - \frac{1}{3}\): Similar calculation as the first option (not equal).
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\(A = \frac{153}{13}\): This is equal to approximately 11.769 (not equal).
None of these options match \(\frac{64}{13}\) or approximately 4.923. It seems there’s either a mistake in the expression choices provided or in the interpretation of the question.
If I were to choose the closest looking options based on given expressions, the result of \(A = \frac{64}{13}\) should be noted and compared more directly with additional expressions not provided in the question.
Please double-check the options, and if there's been any mistake or miscommunication, I’d be happy to help clarify further!