What is 5.55152 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 5.55152 into a fraction.

Answer: 5.55152 as a fraction equals 555152/100000 or 34697/6250

Here is the solution for converting 5.55152 to a fraction:

Step 1:

First, we write 5.55152 as  
5.55152/1

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!
5.55152/1
  =  
5.55152 x 100000/1 x 100000
  =  
555152/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 555152 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 555152 are: 1  2  4  8  13  16  17  26  34  52  68  104  136  157  208  221  272  314  442  628  884  1256  1768  2041  2512  2669  3536  4082  5338  8164  10676  16328  21352  32656  34697  42704  69394  138788  277576  555152 
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 555152 and 100000 that gives us a GCF value of: 16

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.
555152/100000
  =  
555152 ÷ 16/100000 ÷ 16
  =  
34697/6250


Good work! We have just walked through the steps on how to represent 5.55152 as a fraction.

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