What is 3.6988 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.6988 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 3.6988 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.

3.6988 as a fraction equals 36988/10000 or 9247/2500

Now let's break down the steps for converting 3.6988 into a fraction.

Step 1:

First, we express 3.6988 as a fraction by placing it over 1:
3.6988/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.6988 x 10000/1 x 10000
  =  
36988/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 36988 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 36988 are: 1 2 4 7 14 28 1321 2642 5284 9247 18494 36988
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 36988 and 10000 is: 4

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 4 in this case.
36988 ÷ 4/10000 ÷ 4
  =  
9247/2500


Great Work! We've just determined that 3.6988 as a fraction equals 36988/10000 or 9247/2500 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What are simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced 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 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 percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.


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 early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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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