What is 4.34826 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 4.34826 into a fraction.

Answer: 4.34826 as a fraction equals 434826/100000 or 217413/50000

Here is the solution for converting 4.34826 to a fraction:

Step 1:

First, we write 4.34826 as  
4.34826/1

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!
4.34826/1
  =  
4.34826 x 100000/1 x 100000
  =  
434826/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 434826 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 434826 are: 1  2  3  6  7  9  14  17  18  21  29  34  42  49  51  58  63  87  98  102  119  126  147  153  174  203  238  261  294  306  357  406  441  493  522  609  714  833  882  986  1071  1218  1421  1479  1666  1827  2142  2499  2842  2958  3451  3654  4263  4437  4998  6902  7497  8526  8874  10353  12789  14994  20706  24157  25578  31059  48314  62118  72471  144942  217413  434826 
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 434826 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.
434826/100000
  =  
434826 ÷ 2/100000 ÷ 2
  =  
217413/50000


Good work! We have just walked through the steps on how to represent 4.34826 as a fraction.

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