Converting Percent to Fraction

Oct 13, 2025 by miodeya.com 131 views

Understanding Percentages: Converting Percent to Fraction and Decimal

Percentages are a way to express a value as a fraction of 100. In everyday life, we often come across percentages in various contexts, such as finance, statistics, and even sports. To work with percentages effectively, it's essential to understand how to convert them into fractions and decimals. In this article, we'll explore the conversion of percentages to fractions and decimals, using examples to illustrate the process.

Converting Percent to Fraction

To convert a percentage to a fraction, we can use the following steps:

Remove the percentage sign and write the number as a fraction over 100.
Simplify the fraction, if possible.

Let's apply this process to the given examples:

1. 137%

Remove the percentage sign: 137
Write the number as a fraction over 100: 137/100
Simplify the fraction: 137/100 (cannot be simplified further)

2. 115%

Remove the percentage sign: 115
Write the number as a fraction over 100: 115/100
Simplify the fraction: 115/100 (cannot be simplified further)

3. 25%

Remove the percentage sign: 25
Write the number as a fraction over 100: 25/100
Simplify the fraction: 1/4

4. 50%

Remove the percentage sign: 50
Write the number as a fraction over 100: 50/100
Simplify the fraction: 1/2

5. 75%

Remove the percentage sign: 75
Write the number as a fraction over 100: 75/100
Simplify the fraction: 3/4

6. 12%

Remove the percentage sign: 12
Write the number as a fraction over 100: 12/100
Simplify the fraction: 3/25

7. 18%

Remove the percentage sign: 18
Write the number as a fraction over 100: 18/100
Simplify the fraction: 9/50

8. 22%

Remove the percentage sign: 22
Write the number as a fraction over 100: 22/100
Simplify the fraction: 11/50

9. 33%

Remove the percentage sign: 33
Write the number as a fraction over 100: 33/100
Simplify the fraction: 33/100 (cannot be simplified further)

10. 45%

Remove the percentage sign: 45
Write the number as a fraction over 100: 45/100
Simplify the fraction: 9/20

11. 62%

Remove the percentage sign: 62
Write the number as a fraction over 100: 62/100
Simplify the fraction: 31/50

12. 87%

Remove the percentage sign: 87
Write the number as a fraction over 100: 87/100
Simplify the fraction: 87/100 (cannot be simplified further)

Converting Percent to Decimal

To convert a percentage to a decimal, we can simply divide the percentage value by 100.

Let's apply this process to the given examples:

1. 137%

Divide the percentage value by 100: 137 ÷ 100 = 1.372

2. 115%

Divide the percentage value by 100: 115 ÷ 100 = 1.153

3. 25%

Divide the percentage value by 100: 25 ÷ 100 = 0.25

4. 50%

Divide the percentage value by 100: 50 ÷ 100 = 0.5

5. 75%

Divide the percentage value by 100: 75 ÷ 100 = 0.75

6. 12%

Divide the percentage value by 100: 12 ÷ 100 = 0.12

7. 18%

Divide the percentage value by 100: 18 ÷ 100 = 0.18

8. 22%

Divide the percentage value by 100: 22 ÷ 100 = 0.22

9. 33%

Divide the percentage value by 100: 33 ÷ 100 = 0.33

10. 45%

Divide the percentage value by 100: 45 ÷ 100 = 0.45

11. 62%

Divide the percentage value by 100: 62 ÷ 100 = 0.62

12. 87%

Divide the percentage value by 100: 87 ÷ 100 = 0.87

Conclusion

In this article, we've explored the conversion of percentages to fractions and decimals. We've used examples to illustrate the process, and we've seen that converting percentages to fractions involves writing the number as a fraction over 100 and simplifying the fraction, if possible. Converting percentages to decimals involves simply dividing the percentage value by 100. By understanding how to convert percentages to fractions and decimals, we can work with percentages more effectively in various contexts.
Frequently Asked Questions: Percentages, Fractions, and Decimals

In our previous article, we explored the conversion of percentages to fractions and decimals. However, we know that there are many more questions and concerns that readers may have. In this article, we'll address some of the most frequently asked questions about percentages, fractions, and decimals.

Q: What is the difference between a percentage, a fraction, and a decimal?

A: A percentage is a way to express a value as a fraction of 100. A fraction is a way to express a value as a ratio of two numbers. A decimal is a way to express a value as a number with a fractional part.

Q: How do I convert a percentage to a fraction?

A: To convert a percentage to a fraction, you can follow these steps:

Remove the percentage sign and write the number as a fraction over 100.
Simplify the fraction, if possible.

For example, to convert 25% to a fraction, you would write it as 25/100, which simplifies to 1/4.

Q: How do I convert a percentage to a decimal?

A: To convert a percentage to a decimal, you can simply divide the percentage value by 100.

For example, to convert 25% to a decimal, you would divide 25 by 100, which equals 0.25.

Q: What is the relationship between fractions and decimals?

A: Fractions and decimals are two different ways to express the same value. For example, the fraction 1/2 is equal to the decimal 0.5.

Q: How do I convert a fraction to a decimal?

A: To convert a fraction to a decimal, you can divide the numerator by the denominator.

For example, to convert the fraction 1/2 to a decimal, you would divide 1 by 2, which equals 0.5.

Q: What is the relationship between percentages and decimals?

A: Percentages and decimals are related in that a percentage can be converted to a decimal by dividing the percentage value by 100.

For example, the percentage 25% is equal to the decimal 0.25.

Q: How do I add, subtract, multiply, and divide fractions and decimals?

A: When adding, subtracting, multiplying, and dividing fractions and decimals, you need to follow the rules of arithmetic operations.

For example, to add 1/2 and 1/4, you would find a common denominator (4) and add the numerators (1 + 1 = 2), resulting in 2/4, which simplifies to 1/2.

To multiply 1/2 and 1/4, you would multiply the numerators (1 x 1 = 1) and multiply the denominators (2 x 4 = 8), resulting in 1/8.

Q: What are some common mistakes to avoid when working with percentages, fractions, and decimals?

A: Some common mistakes to avoid when working with percentages, fractions, and decimals include:

Not simplifying fractions
Not converting percentages to decimals
Not following the rules of arithmetic operations
Not using a common denominator when adding or subtracting fractions

Conclusion

In this article, we've addressed some of the most frequently asked questions about percentages, fractions, and decimals. We've seen that converting percentages to fractions and decimals involves writing the number as a fraction over 100 and simplifying the fraction, if possible, and dividing the percentage value by 100, respectively. We've also seen that fractions and decimals are related in that a fraction can be converted to a decimal by dividing the numerator by the denominator, and a percentage can be converted to a decimal by dividing the percentage value by 100. By understanding how to work with percentages, fractions, and decimals, we can solve problems more effectively and make informed decisions in various contexts.