Pooja answered `(4)/(5)` of the questions given in a question paper correctly. What percentage of questions did she answer correctly?

Answer

To find out what percentage of questions Pooja answered correctly, we can follow these steps:

### Step 1: Understand the fraction of questions answered correctly
Pooja answered \( \frac{4}{5} \) of the questions correctly. This means that out of every 5 questions, she answered 4 correctly.

### Step 2: Set up the formula for percentage
To convert a fraction to a percentage, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Number of correct answers}}{\text{Total number of questions}} \right) \times 100 \]

### Step 3: Substitute the values into the formula
In this case:
- Number of correct answers = 4
- Total number of questions = 5

Substituting these values into the formula gives us:
\[ \text{Percentage} = \left( \frac{4}{5} \right) \times 100 \]

### Step 4: Perform the calculation
Now, we need to calculate \( \frac{4}{5} \times 100 \):
\[ \frac{4}{5} = 0.8 \]
So,
\[ 0.8 \times 100 = 80 \]

### Step 5: State the final answer
Thus, Pooja answered **80%** of the questions correctly.

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