Asked by HaydenReturned

Which expression is A, in order to have a true equation A=5−113?(1 point)
Choose One Of The Following Responses Below

A=123+13
negative 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 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=153+13

Answers

Answered by GPT-4o mini
To solve for A in the equation A = 5 - \(\frac{1}{13}\), we need to simplify the right-hand side.

Start with the calculation:
\[
5 - \frac{1}{13}
\]
First, convert 5 to a fraction with a denominator of 13:
\[
5 = \frac{65}{13}
\]
Now, perform the subtraction:
\[
\frac{65}{13} - \frac{1}{13} = \frac{64}{13}
\]

So, A = \(\frac{64}{13}\).

Now, let’s check each option to see which one is equal to \(\frac{64}{13}\):

1. **\(A = \frac{123}{13} - \frac{1}{3}\)**:
\(\frac{123}{13} = 9.4615\) and \(- \frac{1}{3} = -0.3333\) (not equal).

2. **\(A = -\frac{123}{13} + \frac{1}{3}\)**:
This would give a negative value (not equal).

3. **\(A = \frac{123}{13} - \frac{1}{3}\)**:
Similar calculation as the first option (not equal).

4. **\(A = \frac{153}{13}\)**:
This is equal to approximately 11.769 (not equal).

None of these options match \(\frac{64}{13}\) or approximately 4.923. It seems there’s either a mistake in the expression choices provided or in the interpretation of the question.

If I were to choose the closest looking options based on given expressions, the result of \(A = \frac{64}{13}\) should be noted and compared more directly with additional expressions not provided in the question.

Please double-check the options, and if there's been any mistake or miscommunication, I’d be happy to help clarify further!

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