What is 4.03704 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 4.03704 into a fraction.

Answer: 4.03704 as a fraction equals 403704/100000 or 50463/12500

Here is the solution for converting 4.03704 to a fraction:

Step 1:

First, we write 4.03704 as  
4.03704/1

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!
4.03704/1
  =  
4.03704 x 100000/1 x 100000
  =  
403704/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 403704 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 403704 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  27  28  36  42  54  56  63  72  81  84  89  108  126  162  168  178  189  216  252  267  324  356  378  504  534  567  623  648  712  756  801  1068  1134  1246  1512  1602  1869  2136  2268  2403  2492  3204  3738  4536  4806  4984  5607  6408  7209  7476  9612  11214  14418  14952  16821  19224  22428  28836  33642  44856  50463  57672  67284  100926  134568  201852  403704 
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 403704 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.
403704/100000
  =  
403704 ÷ 8/100000 ÷ 8
  =  
50463/12500


Good work! We have just walked through the steps on how to represent 4.03704 as a fraction.

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