What is 3.96552 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 3.96552 into a fraction.

Answer: 3.96552 as a fraction equals 396552/100000 or 49569/12500

Here is the solution for converting 3.96552 to a fraction:

Step 1:

First, we write 3.96552 as  
3.96552/1

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!
3.96552/1
  =  
3.96552 x 100000/1 x 100000
  =  
396552/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 396552 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 396552 are: 1  2  3  4  6  8  12  13  24  26  31  39  41  52  62  78  82  93  104  123  124  156  164  186  246  248  312  328  372  403  492  533  744  806  984  1066  1209  1271  1599  1612  2132  2418  2542  3198  3224  3813  4264  4836  5084  6396  7626  9672  10168  12792  15252  16523  30504  33046  49569  66092  99138  132184  198276  396552 
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 396552 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.
396552/100000
  =  
396552 ÷ 8/100000 ÷ 8
  =  
49569/12500


Good work! We have just walked through the steps on how to represent 3.96552 as a fraction.

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