What is 0.80784 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 0.80784 into a fraction.

Answer: 0.80784 as a fraction equals 80784/100000 or 5049/6250

Here is the solution for converting 0.80784 to a fraction:

Step 1:

First, we write 0.80784 as  
0.80784/1

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!
0.80784/1
  =  
0.80784 x 100000/1 x 100000
  =  
80784/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 80784 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 80784 are: 1  2  3  4  6  8  9  11  12  16  17  18  22  24  27  33  34  36  44  48  51  54  66  68  72  88  99  102  108  132  136  144  153  176  187  198  204  216  264  272  297  306  374  396  408  432  459  528  561  594  612  748  792  816  918  1122  1188  1224  1496  1584  1683  1836  2244  2376  2448  2992  3366  3672  4488  4752  5049  6732  7344  8976  10098  13464  20196  26928  40392  80784 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 80784 and 100000 that gives us a GCF value of: 16

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.
80784/100000
  =  
80784 ÷ 16/100000 ÷ 16
  =  
5049/6250


Good work! We have just walked through the steps on how to represent 0.80784 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net