What is 5.52096 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 5.52096 into a fraction.

Answer: 5.52096 as a fraction equals 552096/100000 or 17253/3125

Here is the solution for converting 5.52096 to a fraction:

Step 1:

First, we write 5.52096 as  
5.52096/1

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!
5.52096/1
  =  
5.52096 x 100000/1 x 100000
  =  
552096/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 552096 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 552096 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  48  54  71  72  81  96  108  142  144  162  213  216  243  284  288  324  426  432  486  568  639  648  852  864  972  1136  1278  1296  1704  1917  1944  2272  2556  2592  3408  3834  3888  5112  5751  6816  7668  7776  10224  11502  15336  17253  20448  23004  30672  34506  46008  61344  69012  92016  138024  184032  276048  552096 
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 552096 and 100000 that gives us a GCF value of: 32

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.
552096/100000
  =  
552096 ÷ 32/100000 ÷ 32
  =  
17253/3125


Good work! We have just walked through the steps on how to represent 5.52096 as a fraction.

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