What is 5.15508 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 5.15508 into a fraction.

Answer: 5.15508 as a fraction equals 515508/100000 or 128877/25000

Here is the solution for converting 5.15508 to a fraction:

Step 1:

First, we write 5.15508 as  
5.15508/1

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!
5.15508/1
  =  
5.15508 x 100000/1 x 100000
  =  
515508/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 515508 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 515508 are: 1  2  3  4  6  7  12  14  17  19  21  28  34  38  42  51  57  68  76  84  102  114  119  133  204  228  238  266  323  357  361  399  476  532  646  714  722  798  969  1083  1292  1428  1444  1596  1938  2166  2261  2527  3876  4332  4522  5054  6137  6783  7581  9044  10108  12274  13566  15162  18411  24548  27132  30324  36822  42959  73644  85918  128877  171836  257754  515508 
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 515508 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.
515508/100000
  =  
515508 ÷ 4/100000 ÷ 4
  =  
128877/25000


Good work! We have just walked through the steps on how to represent 5.15508 as a fraction.

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