What is 8.63478 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 8.63478 into a fraction.

Answer: 8.63478 as a fraction equals 863478/100000 or 431739/50000

Here is the solution for converting 8.63478 to a fraction:

Step 1:

First, we write 8.63478 as  
8.63478/1

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!
8.63478/1
  =  
8.63478 x 100000/1 x 100000
  =  
863478/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 863478 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 863478 are: 1  2  3  6  7  9  11  14  18  21  22  33  42  49  63  66  77  89  98  99  126  147  154  178  198  231  267  294  441  462  534  539  623  693  801  882  979  1078  1246  1386  1602  1617  1869  1958  2937  3234  3738  4361  4851  5607  5874  6853  8722  8811  9702  11214  13083  13706  17622  20559  26166  39249  41118  47971  61677  78498  95942  123354  143913  287826  431739  863478 
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 863478 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.
863478/100000
  =  
863478 ÷ 2/100000 ÷ 2
  =  
431739/50000


Good work! We have just walked through the steps on how to represent 8.63478 as a fraction.

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