What is 1.59732 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 1.59732 into a fraction.

Answer: 1.59732 as a fraction equals 159732/100000 or 39933/25000

Here is the solution for converting 1.59732 to a fraction:

Step 1:

First, we write 1.59732 as  
1.59732/1

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!
1.59732/1
  =  
1.59732 x 100000/1 x 100000
  =  
159732/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 159732 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 159732 are: 1  2  3  4  6  9  12  17  18  27  29  34  36  51  54  58  68  81  87  102  108  116  153  162  174  204  261  306  324  348  459  493  522  612  783  918  986  1044  1377  1479  1566  1836  1972  2349  2754  2958  3132  4437  4698  5508  5916  8874  9396  13311  17748  26622  39933  53244  79866  159732 
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 159732 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.
159732/100000
  =  
159732 ÷ 4/100000 ÷ 4
  =  
39933/25000


Good work! We have just walked through the steps on how to represent 1.59732 as a fraction.

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