.875 as a Fraction: Understanding and Simplifying

When it comes to understanding fractions, many people find themselves struggling with decimal fractions. One such decimal fraction is .875. In this article, we will delve into the world of fractions and explore how to convert .875 into a simplified fraction. We will also provide valuable insights and examples to help you grasp the concept more easily.

Understanding Fractions

Fractions are a fundamental concept in mathematics that represent a part of a whole. They consist of two numbers separated by a line, with the number above the line called the numerator and the number below the line called the denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts that make up the whole.

For example, in the fraction 3/4, the numerator is 3, indicating that we have three parts, and the denominator is 4, indicating that the whole is divided into four equal parts.

Converting .875 into a Fraction

Now, let’s focus on converting the decimal fraction .875 into a simplified fraction. To do this, we need to understand the place value of each digit in the decimal.

The digit to the right of the decimal point is in the tenths place, the digit to the right of that is in the hundredths place, and so on. In the case of .875, the 8 is in the tenths place, the 7 is in the hundredths place, and the 5 is in the thousandths place.

To convert .875 into a fraction, we can follow these steps:

  1. Write down the decimal as the numerator.
  2. Write down the place value of the rightmost digit as the denominator.
  3. Simplify the fraction, if possible.

Applying these steps to .875, we have:

  1. Numerator: 875
  2. Denominator: 1000 (since the rightmost digit is in the thousandths place)

Now, let’s simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 875 and 1000 is 125.

Dividing both the numerator and denominator by 125, we get:

  1. Numerator: 875 ÷ 125 = 7
  2. Denominator: 1000 ÷ 125 = 8

Therefore, .875 can be simplified to the fraction 7/8.

Examples and Case Studies

Let’s explore a few more examples and case studies to solidify our understanding of converting decimal fractions into simplified fractions.

Example 1: .25

To convert .25 into a fraction, we follow the same steps as before:

  1. Numerator: 25
  2. Denominator: 100 (since the rightmost digit is in the hundredths place)

Simplifying the fraction by dividing both the numerator and denominator by their GCD (25), we get:

  1. Numerator: 25 ÷ 25 = 1
  2. Denominator: 100 ÷ 25 = 4

Therefore, .25 can be simplified to the fraction 1/4.

Example 2: .125

Converting .125 into a fraction:

  1. Numerator: 125
  2. Denominator: 1000 (since the rightmost digit is in the thousandths place)

Simplifying the fraction by dividing both the numerator and denominator by their GCD (125), we get:

  1. Numerator: 125 ÷ 125 = 1
  2. Denominator: 1000 ÷ 125 = 8

Therefore, .125 can be simplified to the fraction 1/8.

Q&A

Q1: What is a decimal fraction?

A1: A decimal fraction is a fraction whose denominator is a power of 10. It is represented by a decimal point followed by digits that indicate a part of a whole.

Q2: How do I convert a decimal fraction into a percentage?

A2: To convert a decimal fraction into a percentage, multiply it by 100 and add the percentage symbol (%). For example, to convert .875 into a percentage, we multiply it by 100, resulting in 87.5%.

Q3: Can all decimal fractions be converted into simplified fractions?

A3: No, not all decimal fractions can be converted into simplified fractions. Some decimal fractions, such as irrational numbers like π (pi), cannot be expressed as a fraction with integer numerator and denominator.

Q4: How can I check if a fraction is simplified?

A4: To check if a fraction is simplified, divide the numerator and denominator by their GCD. If the GCD is 1, the fraction is simplified. If not, further simplification is possible.

Q5: Can a fraction be simplified to a decimal?

A5: Yes, a fraction can be simplified to a decimal by dividing the numerator by the denominator. The result will be a decimal representation of the fraction.

Summary

In conclusion, understanding and converting decimal fractions into simplified fractions is an essential skill in mathematics. By following the steps outlined in this article, you can easily convert .875 into the fraction 7/8. Remember to write down the decimal as the numerator, the place value of the rightmost digit as the denominator, and simplify the fraction if possible. Practice with more examples and case studies to strengthen your understanding of converting decimal fractions into simplified fractions. With this knowledge, you can confidently work with fractions and solve various mathematical problems.

Latest

Unveiling Super Bowl Ring 2024: Rumors & Speculations Revealed

Discover the buzz and excitement surrounding the highly anticipated Super Bowl Ring 2024 in this intriguing article. Dive into the rumors surrounding the design, including discussions about intricate engravings, XXX diamonds, and the potential for embedded play diagrams. Stay on the edge of your seat as fans and players eagerly await the unveiling of this prestigious championship ring.

Sylvester Stallone: Debunking Wheelchair Rumors

Discover the truth about Sylvester Stallone's health as this article dispels rumors of him being in a wheelchair. At 75, Stallone is vibrant, committed to his craft, and an inspiration to millions. Stay informed with verified sources for accurate updates on his well-being.

Discover the Perfect Balance of Sweet Lolli Wine

Indulge in the distinctive taste of Sweet Lolli Wine! Discover its perfect harmony of sweetness and acidity, ideal for pairing with both spicy and fruity dishes. With medium-high sweetness and balanced acidity, this wine boasts a fruit-forward flavor profile and a refreshing conclusion.

Exploring Sweet Herring Dreamlight Valley’s Lush Orchards

Discover the magic of Sweet Herring Dreamlight Valley through its lush orchards boasting a collection of 50+ fruit tree species, including rare pears and heritage apples. Immerse yourself in the fragrant blooms and abundant harvests for a truly enchanting and unique adventure.

Don't miss

Unveiling Super Bowl Ring 2024: Rumors & Speculations Revealed

Discover the buzz and excitement surrounding the highly anticipated Super Bowl Ring 2024 in this intriguing article. Dive into the rumors surrounding the design, including discussions about intricate engravings, XXX diamonds, and the potential for embedded play diagrams. Stay on the edge of your seat as fans and players eagerly await the unveiling of this prestigious championship ring.

Sylvester Stallone: Debunking Wheelchair Rumors

Discover the truth about Sylvester Stallone's health as this article dispels rumors of him being in a wheelchair. At 75, Stallone is vibrant, committed to his craft, and an inspiration to millions. Stay informed with verified sources for accurate updates on his well-being.

Discover the Perfect Balance of Sweet Lolli Wine

Indulge in the distinctive taste of Sweet Lolli Wine! Discover its perfect harmony of sweetness and acidity, ideal for pairing with both spicy and fruity dishes. With medium-high sweetness and balanced acidity, this wine boasts a fruit-forward flavor profile and a refreshing conclusion.

Exploring Sweet Herring Dreamlight Valley’s Lush Orchards

Discover the magic of Sweet Herring Dreamlight Valley through its lush orchards boasting a collection of 50+ fruit tree species, including rare pears and heritage apples. Immerse yourself in the fragrant blooms and abundant harvests for a truly enchanting and unique adventure.

Unlock Swan Syrup’s Culinary Versatility: Recipes & Usage Stats

Discover the limitless possibilities of Swan Syrup in elevating your culinary creations! From cocktails to desserts, this article highlights its versatility and uniqueness. Get inspired by how pastry shops, coffee houses, and cocktail bars are incorporating Swan Syrup for that extra burst of flavor.
Aanya Patel
Aanya Patel
Aanya Patеl is a tеch bloggеr and cybеrsеcurity analyst spеcializing in thrеat hunting and digital forеnsics. With еxpеrtisе in cybеrsеcurity framеworks and incidеnt rеsponsе, Aanya has contributеd to fortifying digital dеfеnsеs.

Unveiling Super Bowl Ring 2024: Rumors & Speculations Revealed

Discover the buzz and excitement surrounding the highly anticipated Super Bowl Ring 2024 in this intriguing article. Dive into the rumors surrounding the design, including discussions about intricate engravings, XXX diamonds, and the potential for embedded play diagrams. Stay on the edge of your seat as fans and players eagerly await the unveiling of this prestigious championship ring.

Sylvester Stallone: Debunking Wheelchair Rumors

Discover the truth about Sylvester Stallone's health as this article dispels rumors of him being in a wheelchair. At 75, Stallone is vibrant, committed to his craft, and an inspiration to millions. Stay informed with verified sources for accurate updates on his well-being.

Discover the Perfect Balance of Sweet Lolli Wine

Indulge in the distinctive taste of Sweet Lolli Wine! Discover its perfect harmony of sweetness and acidity, ideal for pairing with both spicy and fruity dishes. With medium-high sweetness and balanced acidity, this wine boasts a fruit-forward flavor profile and a refreshing conclusion.