what is 5 out of 14 as a percentage

Natashya

2 min read

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27-12-2024

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Knowing how to convert fractions to percentages is a valuable skill in many areas of life, from calculating grades to understanding statistics. This article will show you exactly how to determine what 5 out of 14 is as a percentage. We'll break it down into easy steps, so even if math isn't your strongest suit, you'll be able to follow along.

Understanding Percentages

A percentage is a way of expressing a number as a fraction of 100. The symbol "%" represents "per hundred." For example, 50% means 50 out of 100, or 50/100, which simplifies to 1/2.

Calculating 5 out of 14 as a Percentage

Here's how to calculate 5 out of 14 as a percentage:

Step 1: Write it as a fraction.

5 out of 14 can be written as the fraction 5/14.

Step 2: Convert the fraction to a decimal.

To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number):

5 ÷ 14 = 0.357142857...

Step 3: Convert the decimal to a percentage.

To convert a decimal to a percentage, multiply the decimal by 100 and add the percent sign (%):

0.357142857... × 100 ≈ 35.71%

Therefore, 5 out of 14 is approximately 35.71%. We round to two decimal places for most practical purposes.

Alternative Method: Using Proportions

You can also solve this using proportions:

• Set up a proportion: x/100 = 5/14 (where 'x' represents the percentage we're looking for).

• Cross-multiply: 14x = 500

• Solve for x: x = 500/14 ≈ 35.71

Again, this gives us approximately 35.71%.

Practical Applications

Understanding how to calculate percentages is useful in many everyday situations, including:

• Calculating Grades: If you got 5 out of 14 questions correct on a quiz, your score is approximately 35.71%.
• Discounts and Sales: Determining the actual price reduction during a sale.
• Financial Calculations: Calculating interest rates, taxes, or tips.
• Data Analysis: Interpreting statistical data presented as percentages.

Conclusion

Converting fractions to percentages is a straightforward process. By following the steps outlined above, you can easily determine that 5 out of 14 is approximately 35.71%. Remember to practice these steps to build your confidence and proficiency in working with percentages. This essential skill will benefit you in numerous situations.