# How To Convert 0.8125 As A Fraction: A Comprehensive Guide?

Berry Mathew

Updated on:

Are you struggling to convert 0.8125 As A fraction? If yes, then you are in the right place. In this article, we will walk you through the step-by-step process of converting 0.8125 into a fraction.

Contents

## Understanding The Basics: What Is A Fraction?

Before we dive into the conversion process, let’s take a moment to understand the basics. A fraction is a way of representing a part of a whole or a ratio between two numbers. A fraction consists of two parts, the numerator, and the denominator. The numerator is the number on top, and the denominator is the number on the bottom.

## Converting 0.8125 To A Fraction

To convert 0.8125 into a fraction, we need to follow these simple steps:

Step 1: Write down the decimal number as a fraction with 1 as the denominator.

0.8125 = 0.8125/1

Step 2: Multiply both the numerator and the denominator by 10000 to get rid of the decimal point.

0.8125/1 x 10000/10000 = 8125/10000

Step 3: Reduce the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common factor (GCF).

8125/10000 ÷ 125 = 65/80

## Simplifying The Fraction

Now that we have converted 0.8125 into a fraction, we can simplify it further. To simplify a fraction, we need to find the GCF of the numerator and the denominator and divide both by it.

Step 1: Find the GCF of 65 and 80.

65: 1, 5, 13, 65

80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The GCF of 65 and 80 is 5.

Step 2: Divide both the numerator and the denominator by 5.

65/5 = 13

80/5 = 16

Therefore, 0.8125 as a fraction in its simplest form is 13/16.

## Conclusion

Converting decimals into fractions is a fundamental math skill that you will need throughout your academic and professional life. By following the steps outlined in this article, you can easily convert 0.8125 into a fraction. Remember, practice makes perfect, so keep practicing until you master this essential skill.

## FAQ

### How Do You Turn 0.8125 Into A Fraction?

0.8125 as a fraction is expressed as 13/16.

### What Is 0.825 As A Fraction?

0.825 as a fraction is 33/40.

### What Is 0.87 As A Fraction And A?

0.87 as a fraction is 87/100.

### What Is 8.125 As A Fraction?

8.125 as a fraction is 65/8.

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