What is 0.318 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.318 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 0.318 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.

0.318 as a fraction equals 318/1000 or 159/500

Now let's break down the steps for converting 0.318 into a fraction.

Step 1:

First, we express 0.318 as a fraction by placing it over 1:
0.318/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.318 x 1000/1 x 1000
  =  
318/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 318 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 318 are: 1 2 3 6 53 106 159 318
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 318 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.
318 ÷ 2/1000 ÷ 2
  =  
159/500


Great Work! We've just determined that 0.318 as a fraction equals 318/1000 or 159/500 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 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 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 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 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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.


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

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



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