What is 0.8768 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.8768 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 0.8768 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.

0.8768 as a fraction equals 8768/10000 or 548/625

Now let's break down the steps for converting 0.8768 into a fraction.

Step 1:

First, we express 0.8768 as a fraction by placing it over 1:
0.8768/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.8768 x 10000/1 x 10000
  =  
8768/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 8768 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 8768 are: 1 2 4 8 16 32 64 137 274 548 1096 2192 4384 8768
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 8768 and 10000 is: 16

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 16 in this case.
8768 ÷ 16/10000 ÷ 16
  =  
548/625


Great Work! We've just determined that 0.8768 as a fraction equals 8768/10000 or 548/625 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 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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 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.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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.

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

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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