What is 5.42568 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 5.42568 into a fraction.

Answer: 5.42568 as a fraction equals 542568/100000 or 67821/12500

Here is the solution for converting 5.42568 to a fraction:

Step 1:

First, we write 5.42568 as  
5.42568/1

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!
5.42568/1
  =  
5.42568 x 100000/1 x 100000
  =  
542568/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 542568 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 542568 are: 1  2  3  4  6  8  12  13  24  26  37  39  47  52  74  78  94  104  111  141  148  156  188  222  282  296  312  376  444  481  564  611  888  962  1128  1222  1443  1739  1833  1924  2444  2886  3478  3666  3848  4888  5217  5772  6956  7332  10434  11544  13912  14664  20868  22607  41736  45214  67821  90428  135642  180856  271284  542568 
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 542568 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.
542568/100000
  =  
542568 ÷ 8/100000 ÷ 8
  =  
67821/12500


Good work! We have just walked through the steps on how to represent 5.42568 as a fraction.

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