What is 0.998 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.998 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 0.998 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.

0.998 as a fraction equals 998/1000 or 499/500

Now let's break down the steps for converting 0.998 into a fraction.

Step 1:

First, we express 0.998 as a fraction by placing it over 1:
0.998/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.998 x 1000/1 x 1000
  =  
998/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 998 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 998 are: 1 2 499 998
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 998 and 1000 is: 2

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 2 in this case.
998 ÷ 2/1000 ÷ 2
  =  
499/500


Great Work! We've just determined that 0.998 as a fraction equals 998/1000 or 499/500 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:



Frequently asked math questions, including decimals and fractions

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

What are mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What are proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

What are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

What is a proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

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.


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.

Use Study.com for an entertaining video lesson approach.

For fun game based learning try Prodigy Math.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



© www.asafraction.net