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The equation asks which expression matches \( A = 5 - \frac{11}{3} \). To solve this, let's first compute \( 5 - \frac{11}{3} \) and then compare it with the options.

We begin by converting 5 into a fraction with denominator 3:
\[
5 = \frac{15}{3}
\]

Now subtract:
\[
A = \frac{15}{3} - \frac{11}{3} = \frac{4}{3}
\]

So, \( A = \frac{4}{3} \).

Let's now check which of the provided options gives the same value.

1. \( A = -1 \frac{2}{3} + \frac{1}{3} \)
   - Convert to improper fractions: \( A = -\frac{5}{3} + \frac{1}{3} = -\frac{4}{3} \) (Not correct)

2. \( A = 1 \frac{2}{3} + \frac{1}{3} \)
   - Convert to improper fractions: \( A = \frac{5}{3} + \frac{1}{3} = \frac{6}{3} = 2 \) (Not correct)

3. \( A = \frac{15}{3} + \frac{1}{3} \)
   - Simplify: \( A = \frac{16}{3} \) (Not correct)

4. \( A = 1 \frac{2}{3} - \frac{1}{3} \)
   - Convert to improper fractions: \( A = \frac{5}{3} - \frac{1}{3} = \frac{4}{3} \) (Correct)

Thus, the correct answer is:
\[
A = 1 \frac{2}{3} - \frac{1}{3}
\]

Would you like more details on this? Here are 5 related questions:

1. How do you subtract mixed numbers like \( 1 \frac{2}{3} - \frac{1}{3} \)?
2. What are improper fractions, and how do you convert them from mixed numbers?
3. Can you explain how to simplify a fraction when adding or subtracting?
4. How would this calculation change if the denominators weren't the same?
5. How do you convert a decimal like 1.666... into a fraction?

**Tip:** When subtracting fractions, ensure they have the same denominator before performing the operation.

Which expression is A, in order to have a true equation A = 5 - 11/3?

Learn how to solve the equation A = 5 - 11/3 by comparing different fraction expressions. This problem covers essential arithmetic concepts, including fractions and mixed numbers. Suitable for students in Grades 5-7.

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