What is 4.63372 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 4.63372 into a fraction.

Answer: 4.63372 as a fraction equals 463372/100000 or 115843/25000

Here is the solution for converting 4.63372 to a fraction:

Step 1:

First, we write 4.63372 as  
4.63372/1

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!
4.63372/1
  =  
4.63372 x 100000/1 x 100000
  =  
463372/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 463372 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 463372 are: 1  2  4  7  13  14  19  26  28  38  52  67  76  91  133  134  182  247  266  268  364  469  494  532  871  938  988  1273  1729  1742  1876  2546  3458  3484  5092  6097  6916  8911  12194  16549  17822  24388  33098  35644  66196  115843  231686  463372 
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 463372 and 100000 that gives us a GCF value of: 4

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.
463372/100000
  =  
463372 ÷ 4/100000 ÷ 4
  =  
115843/25000


Good work! We have just walked through the steps on how to represent 4.63372 as a fraction.

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