To solve for A in the equation \( A = 5 - \frac{11}{3} \), we first simplify the right-hand side.
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Convert \( 5 \) into a fraction with a denominator of \( 3 \): \[ 5 = \frac{15}{3} \]
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Now rewrite the expression: \[ A = \frac{15}{3} - \frac{11}{3} \]
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Perform the subtraction: \[ A = \frac{15 - 11}{3} = \frac{4}{3} \]
Now, we need to see which expression is equivalent to \( \frac{4}{3} \).
Let's evaluate each of the options provided:
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1. \( A = -\frac{2}{3} + \frac{1}{3} \): \[ = -\frac{2}{3} + \frac{1}{3} = -\frac{2 - 1}{3} = -\frac{1}{3} \quad (\text{not equal to } \frac{4}{3}) \]
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2. \( A = \frac{2}{3} + \frac{1}{3} \): \[ = \frac{2 + 1}{3} = \frac{3}{3} = 1 \quad (\text{not equal to } \frac{4}{3}) \]
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3. \( A = \frac{2}{3} - \frac{1}{3} \): \[ = \frac{2 - 1}{3} = \frac{1}{3} \quad (\text{not equal to } \frac{4}{3}) \]
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4. \( A = \frac{15}{3} + \frac{1}{3} \): \[ = \frac{15 + 1}{3} = \frac{16}{3} \quad (\text{not equal to } \frac{4}{3}) \]
None of the provided responses seem to yield \( \frac{4}{3} \). It appears there is either a mistake in the options provided or in the formulation of the equation. Please check the options again or clarify further.