What is 8.37288 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 8.37288 into a fraction.

Answer: 8.37288 as a fraction equals 837288/100000 or 104661/12500

Here is the solution for converting 8.37288 to a fraction:

Step 1:

First, we write 8.37288 as  
8.37288/1

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!
8.37288/1
  =  
8.37288 x 100000/1 x 100000
  =  
837288/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 837288 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 837288 are: 1  2  3  4  6  8  9  12  18  24  29  36  58  72  87  116  174  232  261  348  401  522  696  802  1044  1203  1604  2088  2406  3208  3609  4812  7218  9624  11629  14436  23258  28872  34887  46516  69774  93032  104661  139548  209322  279096  418644  837288 
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 837288 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.
837288/100000
  =  
837288 ÷ 8/100000 ÷ 8
  =  
104661/12500


Good work! We have just walked through the steps on how to represent 8.37288 as a fraction.

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