What is the Fraction of .875?

In this article, we explore what the fraction of .875 is, how to convert decimal numbers to fractions, and how to simplify fractions. Learn more here!

Are you struggling to understand what the fraction of .875 is? Do you find it challenging to convert decimal numbers to fractions? If so, you’re not alone. Many people find fractions and decimals confusing. However, understanding these concepts is essential, especially if you’re dealing with measurements or calculations.

In this article, we’ll explore what the fraction of .875 is, how to convert decimal numbers to fractions, and how to simplify fractions. We’ll also give you some examples that will help you understand these concepts better. So, let’s get started!

Definition of Fraction

Before we dive into how to calculate the fraction of .875, it’s essential to understand what a fraction is. A fraction is a part of a whole, represented by a numerator and a denominator. The numerator represents the number of parts you have, while the denominator represents the total number of parts.

For example, if you have three apples out of five, you would represent this as a fraction: 3/5. The numerator, three, represents the number of apples you have, while the denominator, five, represents the total number of apples.

Understanding this concept is vital because fractions are used in many areas of life, such as cooking, construction, and engineering. They’re also used in mathematical calculations, including addition, subtraction, multiplication, and division. So, let’s move on to the next section and learn how to convert decimal numbers to fractions.

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Conversion of Decimal to Fraction

Converting decimal numbers to fractions can be challenging, especially if you’re not familiar with fractions. However, it’s a crucial skill to have, as it can help you deal with measurements and calculations more effectively.

To convert a decimal number to a fraction, follow these steps:

  1. Identify the decimal number and the place value of the last digit.
  2. Write the decimal number over 1, followed by the appropriate number of zeros in the denominator. For example, if the decimal number is 0.875, write 0.875/1, and add three zeros to the denominator, making it 1000.
  3. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor.

Using the example above, you would simplify the fraction 875/1000 by dividing both the numerator and denominator by 125, which gives you the simplified fraction 7/8.

Now that you know how to convert decimal numbers to fractions let’s move on to calculating the fraction of .875 in the next section.

Conversion of Decimal to Fraction

Let’s take a closer look at the process of converting decimal numbers to fractions. To convert a decimal number to a fraction, you need to follow the steps mentioned above. Let’s take an example to help you understand better.

Suppose you want to convert the decimal number 0.5 to a fraction. The first step is to identify the decimal number and the place value of the last digit. The decimal number is 0.5, and the last digit is in the tenths place.

The second step is to write the decimal number over 1, followed by the appropriate number of zeros in the denominator. So, we write 0.5/1 and add one zero to the denominator, making it 10.

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The third step is to simplify the fraction by dividing both the numerator and denominator by their greatest common factor. In this case, the GCF of 5 and 10 is 5. Therefore, we divide both the numerator and denominator by 5, and the simplified fraction is 1/2.

So, the fraction of 0.5 is 1/2. Now that you know how to convert decimal numbers to fractions let’s move on to calculating the fraction of .875.

Calculation of Fraction of .875

To calculate the fraction of .875, we follow the same process of converting decimal numbers to fractions. The decimal number is 0.875, and the last digit is in the thousandths place.

The first step is to write the decimal number over 1, followed by the appropriate number of zeros in the denominator. So, we write 0.875/1 and add three zeros to the denominator, making it 1000.

The second step is to simplify the fraction by dividing both the numerator and denominator by their greatest common factor. The GCF of 875 and 1000 is 125. Therefore, we divide both the numerator and denominator by 125, and the simplified fraction is 7/8.

So, the fraction of .875 is 7/8. It’s that simple! Now that you know how to calculate the fraction of .875 let’s move on to simplifying fractions.

Simplification of Fraction

After converting a decimal number to a fraction, you may need to simplify the fraction. Simplifying a fraction means reducing it to its lowest terms by dividing both the numerator and denominator by their greatest common factor.

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Let’s take the fraction of .875 we calculated in the previous section, which is 7/8. To simplify this fraction, we need to find the greatest common factor of 7 and 8, which is 1. Therefore, dividing both the numerator and denominator by 1 gives us the simplified fraction of 7/8.

Simplifying fractions makes them easier to work with and understand. It’s also essential when dealing with mixed numbers, improper fractions, and complex mathematical calculations.

Conclusion

In conclusion, understanding fractions and decimals is critical, especially if you’re dealing with calculations and measurements. Converting decimal numbers to fractions and simplifying them requires some practice, but it’s a crucial skill to have.

In this article, we learned what a fraction is and how to convert decimal numbers to fractions. We also explored how to simplify fractions and provided an example of the fraction of .875. By following these steps, you can convert any decimal number to a fraction and simplify it to its lowest terms.

Remember, fractions and decimals are used in many areas of life, from cooking to construction, and it’s essential to understand them. So, keep practicing, and you’ll become a pro in no time!

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