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

Question

Responses

A=153+13
Start Fraction 15 over 3 End Fraction plus 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=123−13
1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction

A=−123+13

Answer 1

To determine which expression represents \( A \) such that \( A = 5 - \frac{11}{3} \), we should first calculate \( 5 - \frac{11}{3} \).

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

2. Now, we can perform the subtraction: \[ A = \frac{15}{3} - \frac{11}{3} = \frac{15 - 11}{3} = \frac{4}{3} \]

Now, we can compare \( \frac{4}{3} \) with the provided options:

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

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

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

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

None of the given expressions equals \( A \) when calculated in context with \( A = \frac{4}{3} \).

It appears all responses do not provide a correct representation for \( A \) based on the original equation \( A = 5 - \frac{11}{3} \). In short: The result we found doesn't match any of the provided expressions for \( A \).