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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, 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 are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

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%.


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

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

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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