What is 1.58844 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 1.58844 into a fraction.

Answer: 1.58844 as a fraction equals 158844/100000 or 39711/25000

Here is the solution for converting 1.58844 to a fraction:

Step 1:

First, we write 1.58844 as  
1.58844/1

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!
1.58844/1
  =  
1.58844 x 100000/1 x 100000
  =  
158844/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 158844 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 158844 are: 1  2  3  4  6  7  12  14  21  28  31  42  61  62  84  93  122  124  183  186  217  244  366  372  427  434  651  732  854  868  1281  1302  1708  1891  2562  2604  3782  5124  5673  7564  11346  13237  22692  26474  39711  52948  79422  158844 
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 158844 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.
158844/100000
  =  
158844 ÷ 4/100000 ÷ 4
  =  
39711/25000


Good work! We have just walked through the steps on how to represent 1.58844 as a fraction.

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