What is 0.204 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.204 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 0.204 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.

0.204 as a fraction equals 204/1000 or 51/250

Now let's break down the steps for converting 0.204 into a fraction.

Step 1:

First, we express 0.204 as a fraction by placing it over 1:
0.204/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.204 x 1000/1 x 1000
  =  
204/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 204 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 204 are: 1 2 3 4 6 12 17 34 51 68 102 204
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 204 and 1000 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.
204 ÷ 4/1000 ÷ 4
  =  
51/250


Great Work! We've just determined that 0.204 as a fraction equals 204/1000 or 51/250 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 a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.

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.

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

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.



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