What is 0.875 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.875 into a fraction. We will start by understanding how a decimal represents the fractional part of a number, then break down the steps to rewrite 0.875 as a fraction. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the results are in the simplest form.

By the end of this guide, you should have a good understanding of decimal to fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.

0.875 as a fraction equals 875/1000 or 7/8

Now let's break down the steps for converting 0.875 into a fraction.

Step 1:

First, we express 0.875 as a fraction by placing it over 1:
0.875/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.875 x 1000/1 x 1000
  =  
875/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 875 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 875 are: 1 5 7 25 35 125 175 875
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 875 and 1000 is: 125

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which we calculated in the previous step. The GCF value is 125 in this case.
875 ÷ 125/1000 ÷ 125
  =  
7/8


Great Work! We've just determined that 0.875 as a fraction equals 875/1000 or 7/8 in its simplest form.

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Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


Educational math links

There are numerous online resources available (some free and some paid) for learning math including decimals and fractions. These range from interactive games to in-depth courses and lessons. We recommend these websites as a valuable resource for students of all skill levels.

For a structured learning approach with video lessons try the Khan Academy.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

For a self-study courses for Algebra. We recommend Purple Math.



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