Question

Which expression is A, in order to have a true equation A=5−113?
A=1 2/3+13

A=15/3+13

A=−1 2/3+13

A=1 2/3−13

Answer 1

×
Which expression is A, in order to have a true equation A=5−113?
A=1 2/3+1/3

A=15/3+1/3

A=−1 2/3+1/3

A=1 2/3−1/3

Answer 2

Let's first simplify the expression on the right side of the equation:

Given:
\[ A = 5 - 113 \]

Calculating \( 5 - 113 \):
\[ 5 - 113 = -108 \]

Now, we need to check each expression for \( A \) to see which one equals -108.

1. **Option 1: \( A = 1 \frac{2}{3} + 13 \)**
- \( 1 \frac{2}{3} = \frac{5}{3} \)
- \( \frac{5}{3} + 13 = \frac{5}{3} + \frac{39}{3} = \frac{44}{3} \approx 14.67 \) (not equal to -108)

2. **Option 2: \( A = \frac{15}{3} + 13 \)**
- \( \frac{15}{3} = 5 \)
- \( 5 + 13 = 18 \) (not equal to -108)

3. **Option 3: \( A = -1 \frac{2}{3} + 13 \)**
- \( -1 \frac{2}{3} = -\frac{5}{3} \)
- \( -\frac{5}{3} + 13 = -\frac{5}{3} + \frac{39}{3} = \frac{34}{3} \approx 11.33 \) (not equal to -108)

4. **Option 4: \( A = 1 \frac{2}{3} - 13 \)**
- \( 1 \frac{2}{3} = \frac{5}{3} \)
- \( \frac{5}{3} - 13 = \frac{5}{3} - \frac{39}{3} = -\frac{34}{3} \approx -11.33 \) (not equal to -108)

None of these options provide the equivalent to -108.

It seems there's a misunderstanding as the expressions provided do not yield an answer of -108. Please ensure that the expressions are correct or provide additional context to solve this correctly.

Answer 3

Let's solve the equation \( A = 5 - 113 \) first to clarify what that expression equals.

Calculating \( 5 - 113 \):
\[
5 - 113 = 5 - 1.13 = 5 - 1.13 = 3.87 \ (which \ is \ not \ relevant\ here)
\]
Continuing on with a more useful approach based on how to handle large numbers gives:
\[
5 - 113 = -108
\]

We need to check which expression \( A \) will yield \(-108\).

Now, let's evaluate each provided option:

1. **Option 1: \( A = 1 \frac{2}{3} + \frac{1}{3} \)**
\[
1 \frac{2}{3} = \frac{5}{3}
\]
\[
A = \frac{5}{3} + \frac{1}{3} = \frac{6}{3} = 2 \quad (\text{not } -108)
\]

2. **Option 2: \( A = \frac{15}{3} + \frac{1}{3} \)**
\[
\frac{15}{3} = 5
\]
\[
A = 5 + \frac{1}{3} = 5 \frac{1}{3} \quad (\text{not } -108)
\]

3. **Option 3: \( A = -1 \frac{2}{3} + \frac{1}{3} \)**
\[
-1 \frac{2}{3} = -\frac{5}{3}
\]
\[
A = -\frac{5}{3} + \frac{1}{3} = -\frac{5 - 1}{3} = -\frac{4}{3} \approx -1.33 \quad (\text{not } -108)
\]

4. **Option 4: \( A = 1 \frac{2}{3} - \frac{1}{3} \)**
\[
1 \frac{2}{3} = \frac{5}{3}
\]
\[
A = \frac{5}{3} - \frac{1}{3} = \frac{5 - 1}{3} = \frac{4}{3} \quad (\text{not } -108)
\]

As you can see from all calculations, none of the given options equal \(-108\).

If you intended a different number or additional values for comparison, please adjust the numbers or clarify further.