What is 5.70492 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 5.70492 into a fraction.

Answer: 5.70492 as a fraction equals 570492/100000 or 142623/25000

Here is the solution for converting 5.70492 to a fraction:

Step 1:

First, we write 5.70492 as  
5.70492/1

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!
5.70492/1
  =  
5.70492 x 100000/1 x 100000
  =  
570492/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 570492 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 570492 are: 1  2  3  4  6  9  12  13  18  23  26  36  39  46  52  53  69  78  92  106  117  138  156  159  207  212  234  276  299  318  414  468  477  598  636  689  828  897  954  1196  1219  1378  1794  1908  2067  2438  2691  2756  3588  3657  4134  4876  5382  6201  7314  8268  10764  10971  12402  14628  15847  21942  24804  31694  43884  47541  63388  95082  142623  190164  285246  570492 
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 570492 and 100000 that gives us a GCF value of: 4

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.
570492/100000
  =  
570492 ÷ 4/100000 ÷ 4
  =  
142623/25000


Good work! We have just walked through the steps on how to represent 5.70492 as a fraction.

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