What is 0.97812 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 0.97812 into a fraction.

Answer: 0.97812 as a fraction equals 97812/100000 or 24453/25000

Here is the solution for converting 0.97812 to a fraction:

Step 1:

First, we write 0.97812 as  
0.97812/1

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!
0.97812/1
  =  
0.97812 x 100000/1 x 100000
  =  
97812/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 97812 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 97812 are: 1  2  3  4  6  9  11  12  13  18  19  22  26  33  36  38  39  44  52  57  66  76  78  99  114  117  132  143  156  171  198  209  228  234  247  286  342  396  418  429  468  494  572  627  684  741  836  858  988  1254  1287  1482  1716  1881  2223  2508  2574  2717  2964  3762  4446  5148  5434  7524  8151  8892  10868  16302  24453  32604  48906  97812 
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 97812 and 100000 that gives us a GCF value of: 4

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.
97812/100000
  =  
97812 ÷ 4/100000 ÷ 4
  =  
24453/25000


Good work! We have just walked through the steps on how to represent 0.97812 as a fraction.

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