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
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=153+13

1 answer

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

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

  2. Now rewrite the expression: \[ A = \frac{15}{3} - \frac{11}{3} \]

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

Now, we need to see which expression is equivalent to \( \frac{4}{3} \).

Let's evaluate each of the options provided:

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

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

  • 3. \( A = \frac{2}{3} - \frac{1}{3} \): \[ = \frac{2 - 1}{3} = \frac{1}{3} \quad (\text{not equal to } \frac{4}{3}) \]

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

None of the provided responses seem to yield \( \frac{4}{3} \). It appears there is either a mistake in the options provided or in the formulation of the equation. Please check the options again or clarify further.