What is 0.8136 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.8136 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 0.8136 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.

0.8136 as a fraction equals 8136/10000 or 1017/1250

Now let's break down the steps for converting 0.8136 into a fraction.

Step 1:

First, we express 0.8136 as a fraction by placing it over 1:
0.8136/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.8136 x 10000/1 x 10000
  =  
8136/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 8136 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 8136 are: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136
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 8136 and 10000 is: 8

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 8 in this case.
8136 ÷ 8/10000 ÷ 8
  =  
1017/1250


Great Work! We've just determined that 0.8136 as a fraction equals 8136/10000 or 1017/1250 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 does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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 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.


Educational math links

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Math Planet has customized math courses for high school students.

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