What is 0.55458 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 0.55458 into a fraction.

Answer: 0.55458 as a fraction equals 55458/100000 or 27729/50000

Here is the solution for converting 0.55458 to a fraction:

Step 1:

First, we write 0.55458 as  
0.55458/1

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!
0.55458/1
  =  
0.55458 x 100000/1 x 100000
  =  
55458/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 55458 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 55458 are: 1  2  3  6  9  13  18  26  27  39  54  78  79  117  158  234  237  351  474  702  711  1027  1422  2054  2133  3081  4266  6162  9243  18486  27729  55458 
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 55458 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.
55458/100000
  =  
55458 ÷ 2/100000 ÷ 2
  =  
27729/50000


Good work! We have just walked through the steps on how to represent 0.55458 as a fraction.

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