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Converting 125% in Fraction: A Step-by-Step Guide

Converting percentages to fractions can be a tricky task, especially when dealing with numbers like 125%. But fear not, because I’ve got you covered! In this step-by-step guide, I will show you exactly how to convert 125% to a fraction in the simplest form.

First, we need to rewrite 125% in the form of a fraction. To do this, we divide 125 by 100, resulting in the fraction 125/100.

Next, we simplify the fraction by finding common factors and cancelling them out. In this case, the highest common factor of 125 and 100 is 25. Dividing both numerator and denominator by 25 gives us the fraction 5/4.

So, 125% can be expressed as the fraction 5/4. It’s as simple as that! By following these steps, you can confidently convert percentages to fractions and tackle any math problem that comes your way.

Remember, practice makes perfect. So, why not give it a try yourself? Convert some percentages to fractions and see how easy it can be. Happy calculating!

  • Converting 125% to a fraction involves rewriting 125 in the form p/q, where p and q are positive integers.
  • Dividing 125 by 100 yields the fraction form.
  • Simplifying the fraction by identifying similar factors and cancelling them out is the final step.
  • 0.125 can be expressed as the simplest form of the fraction, which is 1/8.
  • The numerator and denominator can be divided by 125 to further simplify the fraction.

Understanding 125% as a Fraction

Converting percentages to fractions is a fundamental math skill that can come in handy in various situations. If you’ve ever wondered how to express 125% as a fraction, you’ve come to the right place. In this section, we’ll explore the steps to convert 125% to a fraction and provide a clear explanation of the process.

Converting 125% to Decimal

Before we can convert 125% to a fraction, we need to convert it to decimal form. To do this, we divide 125 by 100.

125 ÷ 100 = 1.25

So, 125% is equivalent to 1.25 in decimal form. Now that we have the decimal representation, we can proceed to rewrite it as a fraction.

Rewriting 125% as a Fraction

To express 1.25 as a fraction, we need to find the simplest form of the fraction. The easiest way to do this is to look at the decimal and determine the relationship between the numerator and denominator.

In the case of 1.25, the decimal can be expressed as a fraction with a denominator of 1000. This is because the decimal has three decimal places, so we move the decimal point three places to the right to convert it to a whole number.

1.25 = 1.25/1 = 125/100

Now, we can simplify the fraction by finding the highest common factor (HCF) of the numerator and denominator. In this case, the HCF of 125 and 1000 is 125. By dividing both the numerator and denominator by 125, we can simplify the fraction further.

125/1000 ÷ 125/125 = 1/8

Therefore, 125% can be expressed as the fraction 1/8.

To verify our answer, we can divide the numerator (1) by the denominator (8), which gives us 0.125. As we started with 1.25, our fraction 1/8 is indeed equivalent to 125%.

For more information on converting decimals to fractions, you can refer to this source.

Now that you understand the process of converting 125% to a fraction, you can confidently tackle similar conversion problems in the future.

Converting 125% to Decimal

Divide 125% by 100 Obtaining the Decimal Form

When it comes to converting percentages to decimals, it’s essential to understand the process involved. In this section, we will explore how to convert 125% to its decimal form.

To begin, let’s rewrite 125% as a fraction. The first step is to divide 125 by 100 to obtain the decimal form. By dividing 125 by 100, we get 1.25. Therefore, 125% can be expressed as 1.25 in decimal form.

Verify the Decimal Form

Now that we have obtained the decimal form of 125%, let’s verify its correctness. We can do this by multiplying the decimal form, 1.25, by 100 and checking if it equals the original percentage, 125%.

1.25 * 100 = 125

As we can see, the result is indeed 125, confirming that our decimal form is accurate.

Conclusion

In conclusion, to convert 125% to its decimal form, we divide 125 by 100, resulting in the decimal 1.25. By using this method, we can easily convert any percentage to its decimal equivalent. Remember, when dealing with percentages, dividing by 100 is the key to obtaining the decimal form.

Rewriting 125% as a Fraction

To convert 125% to a fraction, we need to rewrite 125 in the form p/q, where p and q are positive integers. Let’s break down the steps to accomplish this.

Finding the Numerator and Denominator

The first step is to divide 125 by 100 to convert it to a fraction. This is because 125% is the same as 125/100. Dividing both the numerator and denominator by their highest common factor will simplify the fraction further.

Simplifying the Fraction

To simplify the fraction, we need to find the highest common factor (HCF) of 125 and 100. In this case, the HCF is 125. Dividing both the numerator and denominator by the HCF results in the fraction 1/8.

Thus, 125% can be expressed as the fraction 1/8 in simplest form.

To verify the answer, we can divide the numerator (1) by the denominator (8), which equals 0.125. Therefore, our fraction is correct.

For a more detailed explanation and step-by-step process of converting 125% to a fraction, you can refer to this source.

Remember, when converting percentages to fractions, it’s essential to understand the underlying concepts and follow the proper steps. By rewriting 125% as the fraction 1/8, we have successfully converted a percentage into a simplified fraction.

Stay tuned for more informative articles on mathematical concepts and conversions.

Finding the Numerator and Denominator

Identifying the Number 125

When it comes to converting percentages to fractions, the first step is to rewrite the given percentage in the form of a fraction. In our case, we need to convert 125% into a fraction. To do this, we need to identify the numerator and denominator of the fraction.

To start, let’s consider the number 125. In order to express it as a fraction, we divide it by 100. This is because percentages are essentially a ratio out of 100. By dividing 125 by 100, we get the fraction form of the number.

Determining the Denominator

Now that we have the fraction form of the number 125, we can proceed to determine the denominator. To simplify the fraction, we need to find the highest common factor (HCF) between the numerator and the denominator.

In our case, the numerator is 125 and the denominator is 100. By calculating the HCF of these two numbers, we find that it is 125. Dividing both the numerator and denominator by this HCF gives us the simplified fraction.

Converting 125% to a Fraction

So, what is 125% as a fraction? The answer is 1/8. By performing the steps mentioned above, we have successfully converted 125% into its fraction form.

To verify our answer, we can divide the numerator (1) by the denominator (8), which equals 0.125. This confirms that our fraction, 1/8, is indeed equivalent to 125%.

For more information on converting decimals to fractions, you can refer to this source.

In conclusion, by following the steps mentioned above, we can easily convert 125% to a fraction. In our case, the fraction is 1/8.

Simplifying the Fraction

Converting decimal numbers to fractions is a common math problem that many of us encounter. In this section, we will explore the process of simplifying the fraction for the decimal number 0.125. Let’s dive in!

Finding the Highest Common Factor (HCF)

To simplify a fraction, we first need to find the highest common factor (HCF) of the numerator and the denominator. In the case of 0.125, the numerator is 125 and the denominator is 1000. By finding the HCF, we can simplify the fraction further.

According to my research, the HCF of 125 and 1000 is 125.

Dividing Numerator and Denominator by the HCF

Once we know the HCF, we can divide both the numerator and the denominator of the fraction by the HCF. In this case, we divide 125 by 125 and 1000 by 125, resulting in the fraction 1/8.

By dividing the numerator and denominator by the HCF, we simplify the fraction to its lowest terms.

Verification and Final Result

It’s always a good idea to verify our answer to ensure accuracy. In this case, we can divide the numerator (1) by the denominator (8), and we find that the result is indeed 0.125.

Therefore, the decimal number 0.125 can be expressed as the fraction 1/8 in its simplest form.

To further support this information, you can refer to the source for a detailed explanation of converting 0.125 into a fraction.

There you have it! The process of simplifying the fraction for the decimal number 0.125 is complete, and we now know that it can be represented as the fraction 1/8.

Verifying the Result

After converting 125% to a fraction, it is important to verify the accuracy of the result. This can be done by dividing the numerator by the denominator and confirming the decimal equivalent.

Dividing Numerator by Denominator

To verify the fraction form of 125%, we need to divide the numerator by the denominator. In the case of 125%, the numerator is 125 and the denominator is 100. Dividing 125 by 100 gives us 1.25. This means that the fraction 125/100 is equivalent to the decimal 1.25.

Confirming the Decimal Equivalent

To further confirm the accuracy of the fraction, we can convert it back to a decimal and compare it to the original value. The fraction 125/100 can be simplified to 5/4 by dividing both the numerator and denominator by the highest common factor, which in this case is 25. Dividing 5 by 4 gives us 1.25, which matches the original decimal equivalent.

By verifying the result through division and comparing the decimal equivalents, we can be confident that the fraction 125/100 accurately represents 125% in fraction form.

For a more in-depth understanding of converting percentages to fractions, you can refer to the article “What is 125% as a fraction” here.

Conclusion

Understanding the Steps Applying the Conversion

Converting percentages to fractions is a fundamental skill in mathematics. In this article, we have explored the process of converting 125% to a fraction. By breaking down the steps, we can gain a deeper understanding of how to approach this type of conversion.

The first step is to rewrite 125% in the form p/q, where p and q are positive integers. To do this, we divide 125 by 100, since percentages are essentially fractions out of 100. This gives us the fraction 125/100.

The next step is to simplify the fraction by finding similar factors and cancelling them out. In the case of 125/100, we can divide both the numerator and the denominator by their highest common factor (HCF), which is 25. This simplifies the fraction to 5/4.

Applying the Conversion

But what if we want to express 125% as a decimal fraction? In this case, we can divide 125 by 100, which gives us the decimal 1.25. By shifting the decimal point two places to the left, we can express 1.25 as the fraction 125/100.

To further simplify the fraction, we divide both the numerator and the denominator by their HCF, which is 25. This results in the fraction 5/4.

To verify our conversion, we can divide the numerator (5) by the denominator (4), which equals 1.25. This confirms that our fraction, 5/4, is indeed equivalent to 125%.

In conclusion, we have learned how to convert 125% to a fraction. By following the steps and simplifying the fraction, we arrive at the final result of 5/4. Whether expressed as a fraction or a decimal, this conversion allows us to represent 125% in a more manageable form.

For more information on converting percentages to fractions, you can refer to the source cited in this article.

Frequently Asked Questions

How do I convert 125% to a fraction?

The first step to converting 125% to a fraction is to rewrite 125 in the form p/q where p and q are positive integers. In this case, 125 can be divided by 100 to get the fraction form.

What is the simplest form of 0.125 as a fraction?

0.125 can be expressed as a fraction in simplest form as 1/8. To convert 0.125 into a fraction in simplest form, you can follow the provided steps.

How do I simplify the fraction 125/1000?

The highest common factor (HCF) of 125 and 1000 is 125. Dividing both the numerator and denominator by the HCF results in the fraction 1/8.

Can 0.125 be converted to a fraction?

Yes, 0.125 can be converted to a fraction. The fraction in its lowest terms is 1/8. To simplify the fraction, you can divide both the numerator and denominator by 125.

How can I verify the answer when converting 0.125 to a fraction?

The answer can be verified by dividing the numerator (1) by the denominator (8), which equals 0.125.