What is 3.1498 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.1498 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 3.1498 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.

3.1498 as a fraction equals 31498/10000 or 15749/5000

Now let's break down the steps for converting 3.1498 into a fraction.

Step 1:

First, we express 3.1498 as a fraction by placing it over 1:
3.1498/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.1498 x 10000/1 x 10000
  =  
31498/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 31498 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 31498 are: 1 2 15749 31498
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 31498 and 10000 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.
31498 ÷ 2/10000 ÷ 2
  =  
15749/5000


Great Work! We've just determined that 3.1498 as a fraction equals 31498/10000 or 15749/5000 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 are mixed numbers?

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

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

What is an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.


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.

Math Planet has customized math courses for high school students.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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