What is 0.668 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.668 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 0.668 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.

0.668 as a fraction equals 668/1000 or 167/250

Now let's break down the steps for converting 0.668 into a fraction.

Step 1:

First, we express 0.668 as a fraction by placing it over 1:
0.668/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.668 x 1000/1 x 1000
  =  
668/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 668 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 668 are: 1 2 4 167 334 668
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 668 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.
668 ÷ 4/1000 ÷ 4
  =  
167/250


Great Work! We've just determined that 0.668 as a fraction equals 668/1000 or 167/250 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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 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 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 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..


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 fun game based learning try Prodigy Math.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

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



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