What is 0.796 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.796 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 0.796 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.

0.796 as a fraction equals 796/1000 or 199/250

Now let's break down the steps for converting 0.796 into a fraction.

Step 1:

First, we express 0.796 as a fraction by placing it over 1:
0.796/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.796 x 1000/1 x 1000
  =  
796/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 796 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 796 are: 1 2 4 199 398 796
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 796 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.
796 ÷ 4/1000 ÷ 4
  =  
199/250


Great Work! We've just determined that 0.796 as a fraction equals 796/1000 or 199/250 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 imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

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.

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.

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..

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.

Use Study.com for an entertaining video lesson approach.

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

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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