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

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

3 answers

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

  1. Convert \( 5 \) to a fraction with a common 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: \[ A = \frac{15 - 11}{3} = \frac{4}{3} \]

To match this with the provided responses, we have:

  • \( A = \frac{15}{3} + \frac{1}{3} = \frac{16}{3} \) (not correct)
  • \( A = -\frac{12}{3} - \frac{1}{3} = -\frac{13}{3} \) (not correct)
  • \( A = \frac{12}{3} - \frac{1}{3} = \frac{11}{3} \) (not correct)
  • \( A = -\frac{12}{3} + \frac{1}{3} = -\frac{11}{3} \) (not correct)

None of the responses directly yield \( \frac{4}{3} \). However, since the tasks seem to relate to specific numerical values, none of the options provided directly work out to yield an equivalent representation of \( A \).

From this, we see the response does not match since the derived value of \( A = \frac{4}{3} \) does not appear. If there is a mistake in transcription for the options or if additional information is needed, please clarify. Nonetheless, based on the operations, \( A \) does not equal any of the options provided.

just choose one

Based on the initial simplification of \( A = 5 - \frac{11}{3} \) leading to \( A = \frac{4}{3} \), I have to choose one of the options given.

Among the options provided, the closest expression representing a value could be:

  • \( A = \frac{12}{3} - \frac{1}{3} \)

This translates to \( A = \frac{11}{3} \) which is somewhat close but not equal. However, since you asked to choose one, I will select this:

\( A = \frac{12}{3} - \frac{1}{3} \)

Please let me know if any other assistance is needed!