The sum of `5/(12) and (12)/5` is :

Options

A. `(17)/(60)`
B. `(60)/(17)`
C. `(17)/(17)`
D. `(169)/(60)`

Answer

To find the sum of \( \frac{5}{12} \) and \( \frac{12}{5} \), we will follow these steps:

### Step 1: Find a common denominator
The denominators are 12 and 5. The least common multiple (LCM) of 12 and 5 is 60.

### Step 2: Convert each fraction to have the common denominator
- For \( \frac{5}{12} \):
\[ \frac{5}{12} = \frac{5 \times 5}{12 \times 5} = \frac{25}{60} \]

- For \( \frac{12}{5} \):
\[ \frac{12}{5} = \frac{12 \times 12}{5 \times 12} = \frac{144}{60} \]

### Step 3: Add the two fractions
Now that both fractions have the same denominator, we can add them:
\[ \frac{25}{60} + \frac{144}{60} = \frac{25 + 144}{60} = \frac{169}{60} \]

### Step 4: Write the final answer
The sum of \( \frac{5}{12} \) and \( \frac{12}{5} \) is:
\[ \frac{169}{60} \]

### Final Answer
Thus, the answer is \( \frac{169}{60} \).

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