What is 5.94048 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 5.94048 into a fraction.

Answer: 5.94048 as a fraction equals 594048/100000 or 18564/3125

Here is the solution for converting 5.94048 to a fraction:

Step 1:

First, we write 5.94048 as  
5.94048/1

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!
5.94048/1
  =  
5.94048 x 100000/1 x 100000
  =  
594048/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 594048 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 594048 are: 1  2  3  4  6  7  8  12  13  14  16  17  21  24  26  28  32  34  39  42  48  51  52  56  64  68  78  84  91  96  102  104  112  119  128  136  156  168  182  192  204  208  221  224  238  272  273  312  336  357  364  384  408  416  442  448  476  544  546  624  663  672  714  728  816  832  884  896  952  1088  1092  1248  1326  1344  1428  1456  1547  1632  1664  1768  1904  2176  2184  2496  2652  2688  2856  2912  3094  3264  3536  3808  4368  4641  4992  5304  5712  5824  6188  6528  7072  7616  8736  9282  10608  11424  11648  12376  14144  15232  17472  18564  21216  22848  24752  28288  34944  37128  42432  45696  49504  74256  84864  99008  148512  198016  297024  594048 
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 594048 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.
594048/100000
  =  
594048 ÷ 32/100000 ÷ 32
  =  
18564/3125


Good work! We have just walked through the steps on how to represent 5.94048 as a fraction.

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