What is 4.52736 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 4.52736 into a fraction.

Answer: 4.52736 as a fraction equals 452736/100000 or 14148/3125

Here is the solution for converting 4.52736 to a fraction:

Step 1:

First, we write 4.52736 as  
4.52736/1

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!
4.52736/1
  =  
4.52736 x 100000/1 x 100000
  =  
452736/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 452736 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 452736 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  48  54  64  72  96  108  128  131  144  192  216  262  288  384  393  432  524  576  786  864  1048  1152  1179  1572  1728  2096  2358  3144  3456  3537  4192  4716  6288  7074  8384  9432  12576  14148  16768  18864  25152  28296  37728  50304  56592  75456  113184  150912  226368  452736 
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 452736 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.
452736/100000
  =  
452736 ÷ 32/100000 ÷ 32
  =  
14148/3125


Good work! We have just walked through the steps on how to represent 4.52736 as a fraction.

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