What is 4.14504 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 4.14504 into a fraction.

Answer: 4.14504 as a fraction equals 414504/100000 or 51813/12500

Here is the solution for converting 4.14504 to a fraction:

Step 1:

First, we write 4.14504 as  
4.14504/1

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!
4.14504/1
  =  
4.14504 x 100000/1 x 100000
  =  
414504/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 414504 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 414504 are: 1  2  3  4  6  8  9  12  18  19  24  27  36  38  54  57  72  76  101  108  114  152  171  202  216  228  303  342  404  456  513  606  684  808  909  1026  1212  1368  1818  1919  2052  2424  2727  3636  3838  4104  5454  5757  7272  7676  10908  11514  15352  17271  21816  23028  34542  46056  51813  69084  103626  138168  207252  414504 
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 414504 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.
414504/100000
  =  
414504 ÷ 8/100000 ÷ 8
  =  
51813/12500


Good work! We have just walked through the steps on how to represent 4.14504 as a fraction.

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