What is 3.75732 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 3.75732 into a fraction.

Answer: 3.75732 as a fraction equals 375732/100000 or 93933/25000

Here is the solution for converting 3.75732 to a fraction:

Step 1:

First, we write 3.75732 as  
3.75732/1

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!
3.75732/1
  =  
3.75732 x 100000/1 x 100000
  =  
375732/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 375732 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 375732 are: 1  2  3  4  6  7  9  12  14  18  21  27  28  36  42  49  54  63  71  84  98  108  126  142  147  189  196  213  252  284  294  378  426  441  497  588  639  756  852  882  994  1278  1323  1491  1764  1917  1988  2556  2646  2982  3479  3834  4473  5292  5964  6958  7668  8946  10437  13419  13916  17892  20874  26838  31311  41748  53676  62622  93933  125244  187866  375732 
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 375732 and 100000 that gives us a GCF value of: 4

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.
375732/100000
  =  
375732 ÷ 4/100000 ÷ 4
  =  
93933/25000


Good work! We have just walked through the steps on how to represent 3.75732 as a fraction.

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