Question

Which expression when substituted for A makes the equation A=5−113
true?(1 point)
Responses

123+13
1 and 2 thirds plus 1 third

123−13
1 and 2 thirds minus 1 third

153+13
15 thirds plus 1 third

−123+13

Answer 1

To solve for \( A \) in the equation \( A = 5 - \frac{11}{3} \), we first simplify the right side.

1. Convert 5 to a fraction with the same denominator as \(\frac{11}{3}\).
\[
5 = \frac{15}{3}
\]
2. Now substitute this back into the equation:
\[
A = \frac{15}{3} - \frac{11}{3} = \frac{15 - 11}{3} = \frac{4}{3}
\]

Now we need to find which of the given expressions is equal to \(\frac{4}{3}\).

1. **Option: \( \frac{12}{3} + \frac{1}{3} \)**
\[
\frac{12 + 1}{3} = \frac{13}{3} \quad \text{(not equal to } \frac{4}{3}\text{)}
\]

2. **Option: \( \frac{12}{3} - \frac{1}{3} \)**
\[
\frac{12 - 1}{3} = \frac{11}{3} \quad \text{(not equal to } \frac{4}{3}\text{)}
\]

3. **Option: \( \frac{15}{3} + \frac{1}{3} \)**
\[
\frac{15 + 1}{3} = \frac{16}{3} \quad \text{(not equal to } \frac{4}{3}\text{)}
\]

4. **Option: \( -\frac{12}{3} + \frac{1}{3} \)**
\[
-\frac{12}{3} + \frac{1}{3} = -\frac{12 - 1}{3} = -\frac{11}{3} \quad \text{(not equal to } \frac{4}{3}\text{)}
\]

None of the given responses provide an expression that equals \(\frac{4}{3}\).

If an expression \( A \) were to equal \( \frac{4}{3} \), we could represent that as \( 1 \frac{1}{3} \) or simply \( \frac{4}{3} \) in an appropriate fractional or mixed-number format, but it seems none of the options stated here fit the requirement.

Could you please verify the options or provide any additional context?