Question

PICK ONE!!!
Which expression is A, in order to have a true equation A=5−113
?(1 point)
Responses

A=−123+13
negative 1 Start Fraction 2 over 3 End Fraction plus Start Fraction 1 over 3 End Fraction

A=123−13
1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction

A=123+13
negative 1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction

A=153+13

Answer 1

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

1. Convert \( 5 \) to a fraction with the same denominator as \( \frac{11}{3} \):
\[
5 = \frac{15}{3}
\]

2. Now, substitute it into the equation:
\[
A = \frac{15}{3} - \frac{11}{3}
\]

3. Subtract the fractions:
\[
A = \frac{15 - 11}{3} = \frac{4}{3}
\]

Now we need to check which expression from your options simplifies to \( \frac{4}{3} \):

1. **Option 1:** \( A = -\frac{2}{3} + \frac{1}{3} \)
\[
= -\frac{2}{3} + \frac{1}{3} = -\frac{1}{3} \quad \text{(not correct)}
\]

2. **Option 2:** \( A = \frac{2}{3} - \frac{1}{3} \)
\[
= \frac{2}{3} - \frac{1}{3} = \frac{1}{3} \quad \text{(not correct)}
\]

3. **Option 3:** \( A = \frac{2}{3} + \frac{1}{3} \)
\[
= \frac{2}{3} + \frac{1}{3} = \frac{3}{3} = 1 \quad \text{(not correct)}
\]

4. **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!