Math Problem Statement

To calculate the percentage of 13 marks out of 20, let's break it down step by step

Solution

To calculate the percentage of 13 marks out of 20, you can follow these steps:

Step-by-Step Breakdown:

  1. Identify the formula for percentage:
    The general formula for calculating percentage is:
    Percentage=(Obtained MarksTotal Marks)×100\text{Percentage} = \left( \frac{\text{Obtained Marks}}{\text{Total Marks}} \right) \times 100

  2. Substitute the values:
    In your case, the obtained marks are 13, and the total marks are 20. Plug these values into the formula: Percentage=(1320)×100\text{Percentage} = \left( \frac{13}{20} \right) \times 100

  3. Perform the division:
    1320=0.65\frac{13}{20} = 0.65

  4. Multiply by 100 to get the percentage:
    0.65×100=650.65 \times 100 = 65

Final Answer:

13 out of 20 is 65%.

Would you like further details on how percentages work, or have any questions?

Here are some related questions for deeper understanding:

  1. How do you convert a percentage back to a fraction?
  2. What would 15 out of 25 be as a percentage?
  3. How do you increase or decrease a number by a given percentage?
  4. How do you calculate percentage error in experiments?
  5. How can percentages be used in financial calculations?

Tip: To easily convert a fraction to a percentage, multiply by 100!

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Math Problem Analysis

Mathematical Concepts

Percentages
Basic Arithmetic

Formulas

Percentage = (Obtained Marks / Total Marks) × 100

Theorems

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Suitable Grade Level

Grades 5-7