In an examination a girl got 507 marks out of 650. Find out what percentage of the total marks she got.

Answer

To find the percentage of marks obtained by the girl in the examination, we can follow these steps:

### Step 1: Identify the marks obtained and the total marks.
- The girl obtained **507 marks** out of a total of **650 marks**.

### Step 2: Use the percentage formula.
- The formula to calculate percentage is:
\[ \text{Percentage} = \left( \frac{\text{Marks Obtained}}{\text{Total Marks}} \right) \times 100 \]

### Step 3: Substitute the values into the formula.
- Substitute the marks obtained and total marks into the formula:
\[ \text{Percentage} = \left( \frac{507}{650} \right) \times 100 \]

### Step 4: Simplify the fraction.
- To simplify \(\frac{507}{650}\), we can divide both the numerator and the denominator by 5:
\[ \frac{507 \div 5}{650 \div 5} = \frac{101.4}{130} \]
- However, instead of dividing, we can directly calculate:
\[ \frac{507}{650} \approx 0.78 \]

### Step 5: Multiply by 100 to get the percentage.
- Now, multiply by 100 to convert the decimal to a percentage:
\[ 0.78 \times 100 = 78 \]

### Step 6: State the final answer.
- Therefore, the girl got **78%** of the total marks.

### Final Answer:
The girl got **78%** of the total marks.

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