What is 3.62712 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 3.62712 into a fraction.

Answer: 3.62712 as a fraction equals 362712/100000 or 45339/12500

Here is the solution for converting 3.62712 to a fraction:

Step 1:

First, we write 3.62712 as  
3.62712/1

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!
3.62712/1
  =  
3.62712 x 100000/1 x 100000
  =  
362712/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 362712 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 362712 are: 1  2  3  4  6  7  8  12  14  17  21  24  28  34  42  51  56  68  84  102  119  127  136  168  204  238  254  357  381  408  476  508  714  762  889  952  1016  1428  1524  1778  2159  2667  2856  3048  3556  4318  5334  6477  7112  8636  10668  12954  15113  17272  21336  25908  30226  45339  51816  60452  90678  120904  181356  362712 
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 362712 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.
362712/100000
  =  
362712 ÷ 8/100000 ÷ 8
  =  
45339/12500


Good work! We have just walked through the steps on how to represent 3.62712 as a fraction.

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