To find which expression for \( A \) makes the equation \( A = 5 - \frac{11}{3} \) true, first we need to simplify \( 5 - \frac{11}{3} \).
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Convert \( 5 \) to a fraction with the same denominator as \( \frac{11}{3} \): \[ 5 = \frac{15}{3} \]
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Now, substitute it into the equation: \[ A = \frac{15}{3} - \frac{11}{3} \]
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Subtract the fractions: \[ A = \frac{15 - 11}{3} = \frac{4}{3} \]
Now we need to check which expression from your options simplifies to \( \frac{4}{3} \):
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Option 1: \( A = -\frac{2}{3} + \frac{1}{3} \) \[ = -\frac{2}{3} + \frac{1}{3} = -\frac{1}{3} \quad \text{(not correct)} \]
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Option 2: \( A = \frac{2}{3} - \frac{1}{3} \) \[ = \frac{2}{3} - \frac{1}{3} = \frac{1}{3} \quad \text{(not correct)} \]
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Option 3: \( A = \frac{2}{3} + \frac{1}{3} \) \[ = \frac{2}{3} + \frac{1}{3} = \frac{3}{3} = 1 \quad \text{(not correct)} \]
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Option 4: \( A = \frac{15}{3} + \frac{1}{3} \) \[ = \frac{15}{3} + \frac{1}{3} = \frac{16}{3} \quad \text{(not correct)} \]
None of the options provided yield \( \frac{4}{3} \). It appears that there might be an error in the options or the equation provided. Please check the options again or let me know if you'd like to clarify further!