# How To Convert 0.825 To A Fraction: A Step-By-Step Guide

Written By Berry Mathew

How To Convert 0.825 To A Fraction: A Step-By-Step Guide Are you struggling to convert 0.825 into a fraction? In this blog post, we will show you a step-by-step guide on how to convert decimal numbers to fractions. By the end of this article, you will be able to express 0.825 as a fraction in its simplest form.

Contents

## Understanding Decimal Numbers

Before we get into converting 0.825 into a fraction, it is essential to understand what decimal numbers are. Decimal numbers represent parts of a whole and are written with a decimal point. The digits after the decimal point represent the fractional part of the number.

## Converting 0.825 Into A Fraction

To convert 0.825 into a fraction, we need to understand the place value of each digit. The digit 8 is in the hundredth’s place, the digit 2 is in the ten thousandth’s place, and the digit 5 is in the hundred thousandth’s place.

Next, we need to write the digits as the numerator of the fraction and the place value as the denominator. This gives us:

0.825 = 825/1000

## Simplifying The Fraction

To simplify the fraction, we need to divide both the numerator and denominator by their greatest common factor. In this case, the greatest common factor is 25.

825/1000 = (825/25) / (1000/25) = 33/40

So, 0.825 as a fraction is 33/40.

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## FAQ

### What Is 8 16 As A Decimal Fraction?

8/16 as a decimal is 0.5

And there you go! We got 0.5 as the answer when you convert 8/16 to a decimal.

### What Is 8.68 As A Fraction?

8.68 as a fraction is 217/25.

### What Is 8.28 As A Fraction?

8.28 as a fraction is 207/25.

### What Is 7 8 As A Decimal?

7/8 as a decimal is 0.875.

## Conclusion

Converting decimal numbers to fractions can seem daunting at first, but it is a crucial skill to have, especially when working with fractions in real-life situations. Understanding the place value of each digit is crucial to converting a decimal number into a fraction. Once you have the fraction, simplifying it by dividing the numerator and denominator by their greatest common factor will give you the simplest form of the fraction. By following the steps outlined in this article, you can convert 0.825 into a fraction and simplify it to 33/40.

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