What is 6.52288 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 6.52288 into a fraction.

Answer: 6.52288 as a fraction equals 652288/100000 or 20384/3125

Here is the solution for converting 6.52288 to a fraction:

Step 1:

First, we write 6.52288 as  
6.52288/1

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!
6.52288/1
  =  
6.52288 x 100000/1 x 100000
  =  
652288/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 652288 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 652288 are: 1  2  4  7  8  13  14  16  26  28  32  49  52  56  64  91  98  104  112  128  182  196  208  224  256  364  392  416  448  512  637  728  784  832  896  1024  1274  1456  1568  1664  1792  2548  2912  3136  3328  3584  5096  5824  6272  6656  7168  10192  11648  12544  13312  20384  23296  25088  40768  46592  50176  81536  93184  163072  326144  652288 
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 652288 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.
652288/100000
  =  
652288 ÷ 32/100000 ÷ 32
  =  
20384/3125


Good work! We have just walked through the steps on how to represent 6.52288 as a fraction.

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