What is 1.59432 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 1.59432 into a fraction.

Answer: 1.59432 as a fraction equals 159432/100000 or 19929/12500

Here is the solution for converting 1.59432 to a fraction:

Step 1:

First, we write 1.59432 as  
1.59432/1

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!
1.59432/1
  =  
1.59432 x 100000/1 x 100000
  =  
159432/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 159432 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 159432 are: 1  2  3  4  6  7  8  12  13  14  21  24  26  28  39  42  52  56  73  78  84  91  104  146  156  168  182  219  273  292  312  364  438  511  546  584  728  876  949  1022  1092  1533  1752  1898  2044  2184  2847  3066  3796  4088  5694  6132  6643  7592  11388  12264  13286  19929  22776  26572  39858  53144  79716  159432 
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 159432 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.
159432/100000
  =  
159432 ÷ 8/100000 ÷ 8
  =  
19929/12500


Good work! We have just walked through the steps on how to represent 1.59432 as a fraction.

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