What is 2.0188 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.0188 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 2.0188 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.

2.0188 as a fraction equals 20188/10000 or 5047/2500

Now let's break down the steps for converting 2.0188 into a fraction.

Step 1:

First, we express 2.0188 as a fraction by placing it over 1:
2.0188/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.0188 x 10000/1 x 10000
  =  
20188/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 20188 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 20188 are: 1 2 4 7 14 28 49 98 103 196 206 412 721 1442 2884 5047 10094 20188
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 20188 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.
20188 ÷ 4/10000 ÷ 4
  =  
5047/2500


Great Work! We've just determined that 2.0188 as a fraction equals 20188/10000 or 5047/2500 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 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 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 square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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.

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 are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

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

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



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