What is 1.89336 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 1.89336 into a fraction.

Answer: 1.89336 as a fraction equals 189336/100000 or 23667/12500

Here is the solution for converting 1.89336 to a fraction:

Step 1:

First, we write 1.89336 as  
1.89336/1

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!
1.89336/1
  =  
1.89336 x 100000/1 x 100000
  =  
189336/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 189336 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 189336 are: 1  2  3  4  6  7  8  12  14  21  23  24  28  42  46  49  56  69  84  92  98  138  147  161  168  184  196  276  294  322  343  392  483  552  588  644  686  966  1029  1127  1176  1288  1372  1932  2058  2254  2744  3381  3864  4116  4508  6762  7889  8232  9016  13524  15778  23667  27048  31556  47334  63112  94668  189336 
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 189336 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.
189336/100000
  =  
189336 ÷ 8/100000 ÷ 8
  =  
23667/12500


Good work! We have just walked through the steps on how to represent 1.89336 as a fraction.

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