What is 0.246 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.246 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 0.246 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.

0.246 as a fraction equals 246/1000 or 123/500

Now let's break down the steps for converting 0.246 into a fraction.

Step 1:

First, we express 0.246 as a fraction by placing it over 1:
0.246/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.246 x 1000/1 x 1000
  =  
246/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 246 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 246 are: 1 2 3 6 41 82 123 246
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 246 and 1000 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.
246 ÷ 2/1000 ÷ 2
  =  
123/500


Great Work! We've just determined that 0.246 as a fraction equals 246/1000 or 123/500 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 imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

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.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

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.

Math Planet has customized math courses for high school students.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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