Which expression is A, in order to have a true equation A=5−113 ?(1 point) Responses 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 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=153+13 Start Fraction 15 over 3 End Fraction plus Start Fraction 1 over 3 End Fraction

Answer 1

To solve for the expression A such that the equation \( A = 5 - \frac{1}{13} \) holds true, let's first simplify the right side of the equation:

1. Convert \( 5 \) to a fraction with a denominator of \( 13 \):
   \( 5 = \frac{65}{13} \).

2. Now the equation becomes:
   \( A = \frac{65}{13} - \frac{1}{13} \).

3. Combine the fractions:
   \( A = \frac{65 - 1}{13} = \frac{64}{13} \).

Now, let's analyze the given expressions to determine which matches \( A = \frac{64}{13} \):

• A= \( \frac{12}{3} - \frac{1}{3} \)

  • Simplifying gives: \( 4 - \frac{1}{3} = 4 - 0.33 \) (not \( \frac{64}{13} \))

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

  • Simplifying gives: \( -4 + \frac{1}{3} \) (not \( \frac{64}{13} \))

• A= \( \frac{12}{3} + \frac{1}{3} \)

  • Simplifying gives: \( 4 + \frac{1}{3} = \frac{12 + 1}{3} = \frac{13}{3} \) (not \( \frac{64}{13} \))

• A= \( \frac{15}{3} + \frac{1}{3} \)

  • Simplifying gives: \( 5 + \frac{1}{3} = \frac{15 + 1}{3} = \frac{16}{3} \) (not \( \frac{64}{13} \))

None of these expressions equal \( \frac{64}{13} \), indicating there might be a mistake in either the problem options or the calculations. However, if we recap the problem strictly based on the calculations: the only expression that leads correctly to the value that we need is \( A = \frac{64}{13} \), and check if that equates with given options, it doesn't.

This overall lead us to conclude that none of the provided options give a correct expression for A to satisfy \( A = 5 - \frac{1}{13} \). Please check the context or options again for potential typos.

Answer 2

U gonna pick one

Answer 3

Given the options provided, I will analyze them more directly to identify the best match.

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

   • This simplifies to \( 4 - \frac{1}{3} = \frac{12}{3} - \frac{1}{3} = \frac{12 - 1}{3} = \frac{11}{3} \).

2. Option 2: \( A = -\frac{12}{3} + \frac{1}{3} \)

   • This simplifies to \( -4 + \frac{1}{3} = \frac{-12}{3} + \frac{1}{3} = \frac{-12 + 1}{3} = \frac{-11}{3} \).

3. Option 3: \( A = \frac{12}{3} + \frac{1}{3} \)

   • This simplifies to \( 4 + \frac{1}{3} = \frac{12}{3} + \frac{1}{3} = \frac{12 + 1}{3} = \frac{13}{3} \).

4. Option 4: \( A = \frac{15}{3} + \frac{1}{3} \)

   • This simplifies to \( 5 + \frac{1}{3} = \frac{15}{3} + \frac{1}{3} = \frac{15 + 1}{3} = \frac{16}{3} \).

Now we need to approximate \( 5 - \frac{1}{13} \):

• \( 5 = \frac{65}{13} \)
• So, \( 5 - \frac{1}{13} = \frac{65 - 1}{13} = \frac{64}{13} \).

Now, converting \( \frac{64}{13} \) to a decimal gives approximately \( 4.923 \).

Among all the options analyzed:

• None match \( \frac{64}{13} \) correctly, but if needed to choose the closest representation based on the structure of the options provided:

I would choose Option 3: \( A = \frac{12}{3} + \frac{1}{3} \) because it results in a positive value which is relatively closer to \( 4.923 \) when converting the fractions compared to the others, even though it's still not equal.

If there are any clarifications on the options or a mistake in the problem statement itself, please let me know!