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

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To find which expression for \( A \) makes the equation \( A = 5 - \frac{1}{13} \) true, we need to evaluate what \( 5 - \frac{1}{13} \) is.
Let's calculate \( 5 - \frac{1}{13} \):

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

2. Now perform the subtraction:
\[
5 - \frac{1}{13} = \frac{65}{13} - \frac{1}{13} = \frac{64}{13}
\]

Now we know that \( A \) must equal \( \frac{64}{13} \).

Let's evaluate the given responses to see which one equals \( \frac{64}{13} \):

1. **Option:** \( A = \frac{123 + 13}{\text{not valid as it is not simplified or clear}} \)
2. **Option:** \( A = \frac{123 - 13}{\text{not valid as it is not simplified or clear}} \)
3. **Option:** \( A = -\frac{123 + 13}{\text{not valid as it is not simplified or clear}} \)
4. **Option:** \( A = \frac{153 + 13}{\text{not valid as it is not simplified or clear}} \)

Since we need to see the valid fractions explicitly:

Let's assume that:
- Option 1 was intended as \( \frac{12}{3} - \frac{1}{3} \)
- Option 2 was intended as \( \frac{12}{3} + \frac{1}{3} \)
- Option 3 was intended as \( -\frac{12}{3} + \frac{1}{3} \)
- Option 4 was intended as \( \frac{15}{3} + \frac{1}{3} \)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To find which expression for \( A \) makes the equation \( A = 5 - \frac{1}{13} \) true, we already calculated that:

\[
A = 5 - \frac{1}{13} = \frac{64}{13}
\]

Now we need to evaluate the provided options to see which one is equal to \( \frac{64}{13} \).

1. **Option 1:** \( A = \frac{123 + 13}{\text{not valid as it is not simplified or clear}} \)
2. **Option 2:** \( A = \frac{123 - 13}{\text{not valid as it is not simplified or clear}} \)
3. **Option 3:** \( A = -\frac{123 + 13}{\text{not valid as it is not simplified or clear}} \)
4. **Option 4:** \( A = \frac{153 + 13}{\text{not valid as it is not simplified or clear}} \)

Since the original options were not presented clearly, we cannot directly assess them. However, let's assume some plausible interpretations based on your hints and simplify:

1. **Option 1:** Let's assume it is intended as \( \frac{123 + 13}{x} = \frac{136}{x} \)
2. **Option 2:** Let's assume it is intended as \( \frac{123 - 13}{x} = \frac{110}{x} \)
3. **Option 3:** Let's assume it is intended as \( -\frac{123 + 13}{x} = -\frac{136}{x} \)
4. **Option 4:** Let's assume it is intended as \( \frac{153 + 13}{x} = \frac{166}{x} \)

To check if any of these equal \( \frac{64}{13} \), we can set \( \frac{a}{x} = \frac{64}{13} \) and solve for \( a \):

This means we need to find \( a \) such that:
\[
a = \frac{64 \cdot x}{13}
\]

For each option given the context of \( A \):

- \(\frac{123 + 13}{x} \) doesn't seem to simplify to \( \frac{64}{13} \)

- \(\frac{123 - 13}{x} \) gives us \( \frac{110}{x} \)

So the most appropriate expression for it to equal \( \frac{64}{13} \) isn’t clear cut without proper labeling.

However, since we determined that \( \frac{64}{13} \) is indeed the value of \( A \), the specific expression reflecting that value must directly calculate \( \frac{64}{13} \) or simplify to it upon evaluation.

If you can clarify or provide more specific expressions for options, I would be able to evaluate them accurately. Otherwise, based on what we calculated earlier, it seems you were on the right track concluding that \( A \) should equal \( \frac{64}{13} \).