What is 4.45536 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 4.45536 into a fraction.

Answer: 4.45536 as a fraction equals 445536/100000 or 13923/3125

Here is the solution for converting 4.45536 to a fraction:

Step 1:

First, we write 4.45536 as  
4.45536/1

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!
4.45536/1
  =  
4.45536 x 100000/1 x 100000
  =  
445536/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 445536 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 445536 are: 1  2  3  4  6  7  8  9  12  13  14  16  17  18  21  24  26  28  32  34  36  39  42  48  51  52  56  63  68  72  78  84  91  96  102  104  112  117  119  126  136  144  153  156  168  182  204  208  221  224  234  238  252  272  273  288  306  312  336  357  364  408  416  442  468  476  504  544  546  612  624  663  672  714  728  816  819  884  936  952  1008  1071  1092  1224  1248  1326  1428  1456  1547  1632  1638  1768  1872  1904  1989  2016  2142  2184  2448  2652  2856  2912  3094  3276  3536  3744  3808  3978  4284  4368  4641  4896  5304  5712  6188  6552  7072  7956  8568  8736  9282  10608  11424  12376  13104  13923  15912  17136  18564  21216  24752  26208  27846  31824  34272  37128  49504  55692  63648  74256  111384  148512  222768  445536 
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 445536 and 100000 that gives us a GCF value of: 32

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.
445536/100000
  =  
445536 ÷ 32/100000 ÷ 32
  =  
13923/3125


Good work! We have just walked through the steps on how to represent 4.45536 as a fraction.

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