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 decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is a proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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 median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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.

Math Planet has customized math courses for high school students.

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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