What is 0.908 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.908 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 0.908 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.

0.908 as a fraction equals 908/1000 or 227/250

Now let's break down the steps for converting 0.908 into a fraction.

Step 1:

First, we express 0.908 as a fraction by placing it over 1:
0.908/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.908 x 1000/1 x 1000
  =  
908/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 908 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 908 are: 1 2 4 227 454 908
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 908 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.
908 ÷ 4/1000 ÷ 4
  =  
227/250


Great Work! We've just determined that 0.908 as a fraction equals 908/1000 or 227/250 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 rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

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.

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.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

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.

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.

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

For fun game based learning try Prodigy Math.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.



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