What is 5.87574 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 5.87574 into a fraction.

Answer: 5.87574 as a fraction equals 587574/100000 or 293787/50000

Here is the solution for converting 5.87574 to a fraction:

Step 1:

First, we write 5.87574 as  
5.87574/1

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!
5.87574/1
  =  
5.87574 x 100000/1 x 100000
  =  
587574/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 587574 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 587574 are: 1  2  3  6  9  13  18  26  27  31  39  54  62  78  81  93  117  162  186  234  243  279  351  403  486  558  702  729  806  837  1053  1209  1458  1674  2106  2418  2511  3159  3627  5022  6318  7254  7533  9477  10881  15066  18954  21762  22599  32643  45198  65286  97929  195858  293787  587574 
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 587574 and 100000 that gives us a GCF value of: 2

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.
587574/100000
  =  
587574 ÷ 2/100000 ÷ 2
  =  
293787/50000


Good work! We have just walked through the steps on how to represent 5.87574 as a fraction.

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