What is 0.7969 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.7969 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 0.7969 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.

0.7969 as a fraction equals 7969/10000

Now let's break down the steps for converting 0.7969 into a fraction.

Step 1:

First, we express 0.7969 as a fraction by placing it over 1:
0.7969/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.7969 x 10000/1 x 10000
  =  
7969/10000


Great Work! We've just determined that 0.7969 as a fraction equals 7969/10000 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 is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

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.

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.

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

Math Planet has customized math courses for high school students.

For a self-study courses for Algebra. We recommend Purple Math.



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