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

Question

Responses

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

A=153+13
Start Fraction 15 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

Answer 1

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

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

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

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

Now we need to find the expression for \( A \) in the provided responses. We have:

1. Response A: \[ A = \frac{12}{3} + \frac{1}{3} = \frac{12 + 1}{3} = \frac{13}{3} \quad (\text{Not correct}) \]

2. Response B: \[ A = \frac{15}{3} + \frac{1}{3} = \frac{15 + 1}{3} = \frac{16}{3} \quad (\text{Not correct}) \]

3. Response C: \[ A = \frac{12}{3} - \frac{1}{3} = \frac{12 - 1}{3} = \frac{11}{3} \quad (\text{Not correct}) \]

4. Response D: \[ A = -\frac{12}{3} + \frac{1}{3} = \frac{-12 + 1}{3} = \frac{-11}{3} \quad (\text{Not correct}) \]

None of the provided expressions match \( A = \frac{4}{3} \). Therefore, it seems that there is a mistake in the options presented because none of them yield \( A = \frac{4}{3} \), which is the solution we calculated. Please verify the responses again.