What is 0.54648 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 0.54648 into a fraction.

Answer: 0.54648 as a fraction equals 54648/100000 or 6831/12500

Here is the solution for converting 0.54648 to a fraction:

Step 1:

First, we write 0.54648 as  
0.54648/1

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!
0.54648/1
  =  
0.54648 x 100000/1 x 100000
  =  
54648/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 54648 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 54648 are: 1  2  3  4  6  8  9  11  12  18  22  23  24  27  33  36  44  46  54  66  69  72  88  92  99  108  132  138  184  198  207  216  253  264  276  297  396  414  506  552  594  621  759  792  828  1012  1188  1242  1518  1656  2024  2277  2376  2484  3036  4554  4968  6072  6831  9108  13662  18216  27324  54648 
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 54648 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.
54648/100000
  =  
54648 ÷ 8/100000 ÷ 8
  =  
6831/12500


Good work! We have just walked through the steps on how to represent 0.54648 as a fraction.

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