What is 0.89964 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 0.89964 into a fraction.

Answer: 0.89964 as a fraction equals 89964/100000 or 22491/25000

Here is the solution for converting 0.89964 to a fraction:

Step 1:

First, we write 0.89964 as  
0.89964/1

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!
0.89964/1
  =  
0.89964 x 100000/1 x 100000
  =  
89964/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 89964 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 89964 are: 1  2  3  4  6  7  9  12  14  17  18  21  27  28  34  36  42  49  51  54  63  68  84  98  102  108  119  126  147  153  189  196  204  238  252  294  306  357  378  441  459  476  588  612  714  756  833  882  918  1071  1323  1428  1666  1764  1836  2142  2499  2646  3213  3332  4284  4998  5292  6426  7497  9996  12852  14994  22491  29988  44982  89964 
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 89964 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.
89964/100000
  =  
89964 ÷ 4/100000 ÷ 4
  =  
22491/25000


Good work! We have just walked through the steps on how to represent 0.89964 as a fraction.

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