What is 0.836 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.836 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 0.836 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.

0.836 as a fraction equals 836/1000 or 209/250

Now let's break down the steps for converting 0.836 into a fraction.

Step 1:

First, we express 0.836 as a fraction by placing it over 1:
0.836/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.836 x 1000/1 x 1000
  =  
836/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 836 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 836 are: 1 2 4 11 19 22 38 44 76 209 418 836
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 836 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.
836 ÷ 4/1000 ÷ 4
  =  
209/250


Great Work! We've just determined that 0.836 as a fraction equals 836/1000 or 209/250 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 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.

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.


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 early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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