What is 0.97944 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 0.97944 into a fraction.

Answer: 0.97944 as a fraction equals 97944/100000 or 12243/12500

Here is the solution for converting 0.97944 to a fraction:

Step 1:

First, we write 0.97944 as  
0.97944/1

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!
0.97944/1
  =  
0.97944 x 100000/1 x 100000
  =  
97944/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 97944 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 97944 are: 1  2  3  4  6  7  8  11  12  14  21  22  24  28  33  42  44  53  56  66  77  84  88  106  132  154  159  168  212  231  264  308  318  371  424  462  583  616  636  742  924  1113  1166  1272  1484  1749  1848  2226  2332  2968  3498  4081  4452  4664  6996  8162  8904  12243  13992  16324  24486  32648  48972  97944 
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 97944 and 100000 that gives us a GCF value of: 8

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.
97944/100000
  =  
97944 ÷ 8/100000 ÷ 8
  =  
12243/12500


Good work! We have just walked through the steps on how to represent 0.97944 as a fraction.

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