What is 3.97992 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 3.97992 into a fraction.

Answer: 3.97992 as a fraction equals 397992/100000 or 49749/12500

Here is the solution for converting 3.97992 to a fraction:

Step 1:

First, we write 3.97992 as  
3.97992/1

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!
3.97992/1
  =  
3.97992 x 100000/1 x 100000
  =  
397992/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 397992 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 397992 are: 1  2  3  4  6  7  8  12  14  21  23  24  28  42  46  56  69  84  92  103  138  161  168  184  206  276  309  322  412  483  552  618  644  721  824  966  1236  1288  1442  1932  2163  2369  2472  2884  3864  4326  4738  5768  7107  8652  9476  14214  16583  17304  18952  28428  33166  49749  56856  66332  99498  132664  198996  397992 
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 397992 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.
397992/100000
  =  
397992 ÷ 8/100000 ÷ 8
  =  
49749/12500


Good work! We have just walked through the steps on how to represent 3.97992 as a fraction.

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