What is 0.7821 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 0.7821 into a fraction.

Answer: 0.7821 as a Fraction equals 7821/10000

Here is the solution for converting 0.7821 to a fraction:

Step 1:

First, we write 0.7821 as  
0.7821/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!
0.7821/1
  =  
0.7821 x 10000/1 x 10000
  =  
7821/10000


Good work! We have just walked through the steps on how to represent 0.7821 as a fraction.

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