Change From Percent To Fraction:1. ${$0%$}$2. ${$25%$}$3. ${$50%$}$4. ${$3%$}$5. ${$0.587%$}$6. ${$0.3148%$}$7. ${$1%$}$8. ${$0.9143%$}$9. ${$0.8%$}$10.

Understanding Percent and Fraction

In mathematics, percent and fraction are two different ways to express a part of a whole. Percent is a way to express a value as a fraction of 100, while fraction is a way to express a value as a ratio of two numbers. In this article, we will learn how to change from percent to fraction.

Why Convert Percent to Fraction?

There are several reasons why we might want to convert percent to fraction. For example, in some mathematical operations, it is easier to work with fractions than percents. Additionally, fractions can be more intuitive and easier to understand than percents, especially when dealing with complex mathematical concepts.

Converting Percent to Fraction

To convert a percent to a fraction, we can follow these steps:

1. Remove the percent sign: The first step is to remove the percent sign from the percent value. For example, if we have 25%, we would remove the percent sign to get 25.
2. Divide by 100: The next step is to divide the percent value by 100. For example, if we have 25, we would divide it by 100 to get 0.25.
3. Simplify the fraction: The final step is to simplify the fraction. In this case, we can simplify 0.25 to 1/4.

Examples of Converting Percent to Fraction

Let's look at some examples of converting percent to fraction:

1. $0\%$

To convert $0\%$ to a fraction, we can follow the steps above:

1. Remove the percent sign: $0\%$ becomes $0$.
2. Divide by 100: $0$ divided by $100$ is still $0$.
3. Simplify the fraction: $0$ is already in its simplest form.

Therefore, $0\%$ is equal to $0$ as a fraction.

2. $25\%$

To convert $25\%$ to a fraction, we can follow the steps above:

1. Remove the percent sign: $25\%$ becomes $25$.
2. Divide by 100: $25$ divided by $100$ is $0.25$.
3. Simplify the fraction: $0.25$ can be simplified to $1/4$.

Therefore, $25\%$ is equal to $1/4$ as a fraction.

3. $50\%$

To convert $50\%$ to a fraction, we can follow the steps above:

1. Remove the percent sign: $50\%$ becomes $50$.
2. Divide by 100: $50$ divided by $100$ is $0.5$.
3. Simplify the fraction: $0.5$ can be simplified to $1/2$.

Therefore, $50\%$ is equal to $1/2$ as a fraction.

4. $3\%$

To convert $3\%$ to a fraction, we can follow the steps above:

1. Remove the percent sign: $3\%$ becomes $3$.
2. Divide by 100: $3$ divided by $100$ is $0.03$.
3. Simplify the fraction: $0.03$ can be simplified to $1/33.33$.

Therefore, $3\%$ is equal to $1/33.33$ as a fraction.

5. $0.587\%$

To convert $0.587\%$ to a fraction, we can follow the steps above:

1. Remove the percent sign: $0.587\%$ becomes $0.587$.
2. Divide by 100: $0.587$ divided by $100$ is $0.00587$.
3. Simplify the fraction: $0.00587$ can be simplified to $1/171.33$.

Therefore, $0.587\%$ is equal to $1/171.33$ as a fraction.

6. $0.3148\%$

To convert $0.3148\%$ to a fraction, we can follow the steps above:

1. Remove the percent sign: $0.3148\%$ becomes $0.3148$.
2. Divide by 100: $0.3148$ divided by $100$ is $0.003148$.
3. Simplify the fraction: $0.003148$ can be simplified to $1/316.33$.

Therefore, $0.3148\%$ is equal to $1/316.33$ as a fraction.

7. $1\%$

To convert $1\%$ to a fraction, we can follow the steps above:

1. Remove the percent sign: $1\%$ becomes $1$.
2. Divide by 100: $1$ divided by $100$ is $0.01$.
3. Simplify the fraction: $0.01$ can be simplified to $1/100$.

Therefore, $1\%$ is equal to $1/100$ as a fraction.

8. $0.9143\%$

To convert $0.9143\%$ to a fraction, we can follow the steps above:

1. Remove the percent sign: $0.9143\%$ becomes $0.9143$.
2. Divide by 100: $0.9143$ divided by $100$ is $0.009143$.
3. Simplify the fraction: $0.009143$ can be simplified to $1/109.33$.

Therefore, $0.9143\%$ is equal to $1/109.33$ as a fraction.

9. $0.8\%$

To convert $0.8\%$ to a fraction, we can follow the steps above:

1. Remove the percent sign: $0.8\%$ becomes $0.8$.
2. Divide by 100: $0.8$ divided by $100$ is $0.008$.
3. Simplify the fraction: $0.008$ can be simplified to $1/125$.

Therefore, $0.8\%$ is equal to $1/125$ as a fraction.

Conclusion

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Frequently Asked Questions

In this article, we will answer some frequently asked questions about converting percent to fraction.

Q: What is the difference between percent and fraction?

A: Percent is a way to express a value as a fraction of 100, while fraction is a way to express a value as a ratio of two numbers.

Q: Why do we need to convert percent to fraction?

A: We need to convert percent to fraction because it is easier to work with fractions than percents in some mathematical operations. Additionally, fractions can be more intuitive and easier to understand than percents, especially when dealing with complex mathematical concepts.

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

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

1. Remove the percent sign from the percent value.
2. Divide the percent value by 100.
3. Simplify the fraction.

Q: What if the fraction is not in its simplest form?

A: If the fraction is not in its simplest form, you can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Q: Can I convert a decimal to a fraction?

A: Yes, you can convert a decimal to a fraction by following the same steps as converting a percent to a fraction. For example, to convert 0.5 to a fraction, you can remove the decimal point, divide by 1, and simplify the fraction.

Q: What if I have a negative percent?

A: If you have a negative percent, you can convert it to a fraction by following the same steps as converting a positive percent to a fraction. For example, to convert -25% to a fraction, you can remove the percent sign, divide by 100, and simplify the fraction.

Q: Can I convert a percent to a decimal?

A: Yes, you can convert a percent to a decimal by dividing the percent value by 100. For example, to convert 25% to a decimal, you can divide 25 by 100 to get 0.25.

Q: What if I have a percent with a decimal part?

A: If you have a percent with a decimal part, you can convert it to a fraction by following the same steps as converting a percent to a fraction. For example, to convert 0.587% to a fraction, you can remove the percent sign, divide by 100, and simplify the fraction.

Q: Can I use a calculator to convert percent to fraction?

A: Yes, you can use a calculator to convert percent to fraction. Most calculators have a function to convert percent to fraction, or you can use the steps above to convert the percent to a fraction manually.

Conclusion

In this article, we answered some frequently asked questions about converting percent to fraction. We saw that converting percent to fraction involves removing the percent sign, dividing by 100, and simplifying the fraction. We also saw some examples of converting percent to fraction, including negative percents, percents with decimal parts, and percents with negative values. By following these steps and examples, we can easily convert percent to fraction and work with fractions in mathematical operations.