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

1 answer

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!