What is 0.679 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.679 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 0.679 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.

0.679 as a fraction equals 679/1000

Now let's break down the steps for converting 0.679 into a fraction.

Step 1:

First, we express 0.679 as a fraction by placing it over 1:
0.679/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.679 x 1000/1 x 1000
  =  
679/1000


Great Work! We've just determined that 0.679 as a fraction equals 679/1000 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 proper fractions?

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

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 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.

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.

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 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 personalized 1-1 lessons check out Preply.com.

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

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



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