`{:("ColumnA"," ","Column B"),(2/10 + 3/100 + 4/1000 + 5/10000,,4/10 + 3/100 + 2/1000):}`

Options

A. If column A is larger
B. If column B is larger
C. If the columns are equal
D. If there is not enough information to decide

Answer

To solve the problem, we need to calculate the sums of the fractions in both Column A and Column B, and then compare the two sums.

### Step-by-Step Solution:

**Step 1: Calculate the sum of Column A.**
Column A consists of the following terms:
- \( \frac{2}{10} \)
- \( \frac{3}{100} \)
- \( \frac{4}{1000} \)
- \( \frac{5}{10000} \)

Let's convert these fractions to decimals:
- \( \frac{2}{10} = 0.2 \)
- \( \frac{3}{100} = 0.03 \)
- \( \frac{4}{1000} = 0.004 \)
- \( \frac{5}{10000} = 0.0005 \)

Now, we sum these decimal values:
\[ 0.2 + 0.03 + 0.004 + 0.0005 = 0.2345 \]

**Step 2: Calculate the sum of Column B.**
Column B consists of the following terms:
- \( \frac{4}{10} \)
- \( \frac{3}{100} \)
- \( \frac{2}{1000} \)

Let's convert these fractions to decimals:
- \( \frac{4}{10} = 0.4 \)
- \( \frac{3}{100} = 0.03 \)
- \( \frac{2}{1000} = 0.002 \)

Now, we sum these decimal values:
\[ 0.4 + 0.03 + 0.002 = 0.432 \]

**Step 3: Compare the sums of Column A and Column B.**
Now we compare the two sums:
- Column A: \( 0.2345 \)
- Column B: \( 0.432 \)

Since \( 0.432 > 0.2345 \), we conclude that Column B is larger.

### Final Answer:
Column B is larger than Column A.

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