What is 0.14568 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.14568 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 0.14568 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.

0.14568 as a fraction equals 14568/100000 or 1821/12500

Now let's break down the steps for converting 0.14568 into a fraction.

Step 1:

First, we express 0.14568 as a fraction by placing it over 1:
0.14568/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.14568 x 100000/1 x 100000
  =  
14568/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 14568 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 14568 are: 1 2 3 4 6 8 12 24 607 1214 1821 2428 3642 4856 7284 14568
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 14568 and 100000 is: 8

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 8 in this case.
14568 ÷ 8/100000 ÷ 8
  =  
1821/12500


Great Work! We've just determined that 0.14568 as a fraction equals 14568/100000 or 1821/12500 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 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 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 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 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 a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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.


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.

Use Study.com for an entertaining video lesson approach.

For a structured learning approach with video lessons try the Khan Academy.

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



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