Which expression is A, in order to have a true equation A=5−11/3 ?(1 point)

To determine which expression for \( A \) makes the equation \( A = 5 - \frac{11}{3} \) true, we first need to simplify the right side of the equation.

Starting with \( 5 - \frac{11}{3} \):

1. Convert \( 5 \) to a fraction with a denominator of 3:
\[
5 = \frac{15}{3}
\]

2. Subtract \( \frac{11}{3} \):
\[
\frac{15}{3} - \frac{11}{3} = \frac{15 - 11}{3} = \frac{4}{3}
\]

Now we have:
\[
A = \frac{4}{3}
\]

Next, let's evaluate each of the given expressions to see if any simplify to \( \frac{4}{3} \):

1. \( A = -1 \frac{2}{3} + \frac{1}{3} \)
- Convert \( -1 \frac{2}{3} \) to an improper fraction:
\[
-1 \frac{2}{3} = -\frac{5}{3}
\]
- Now add:
\[
-\frac{5}{3} + \frac{1}{3} = -\frac{5 - 1}{3} = -\frac{4}{3}
\]

2. \( A = 1 \frac{2}{3} - \frac{1}{3} \)
- Convert \( 1 \frac{2}{3} \):
\[
1 \frac{2}{3} = \frac{5}{3}
\]
- Now subtract:
\[
\frac{5}{3} - \frac{1}{3} = \frac{5 - 1}{3} = \frac{4}{3}
\]

3. \( A = \frac{15}{3} + 1/ \)
- This expression seems incomplete, but we can evaluate what's given:
\[
A = \frac{15}{3} = 5
\]
- Assuming the \( +1/ \) was a typo or a misprint, we can't determine if it equals \( \frac{4}{3} \).

4. \( A = 1 \frac{2}{3} + \frac{1}{3} \)
- Convert \( 1 \frac{2}{3} \):
\[
1 \frac{2}{3} = \frac{5}{3}
\]
- Now add:
\[
\frac{5}{3} + \frac{1}{3} = \frac{5 + 1}{3} = \frac{6}{3} = 2
\]

From the evaluations, the expression that gives \( A = \frac{4}{3} \) is:

**\( A = 1 \frac{2}{3} - \frac{1}{3} \)**.