What is 0.468 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.468 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 0.468 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.

0.468 as a fraction equals 468/1000 or 117/250

Now let's break down the steps for converting 0.468 into a fraction.

Step 1:

First, we express 0.468 as a fraction by placing it over 1:
0.468/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.468 x 1000/1 x 1000
  =  
468/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 468 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 468 are: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 468 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.
468 ÷ 4/1000 ÷ 4
  =  
117/250


Great Work! We've just determined that 0.468 as a fraction equals 468/1000 or 117/250 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.

What are mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What are simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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 structured learning approach with video lessons try the Khan Academy.

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

Desmos.com has a focus on equation, functions and visual graphs.



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