What is 0.966 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 0.966 into a fraction.

Answer: 0.966 as a fraction equals 966/1000 or 483/500

Here is the solution for converting 0.966 to a fraction:

Step 1:

First, we write 0.966 as  
0.966/1

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!
0.966/1
  =  
0.966 x 1000/1 x 1000
  =  
966/1000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 966 and 1000. A factor is a number that divides into another number without any remainder.

The factors of 966 are: 1  2  3  6  7  14  21  23  42  46  69  138  161  322  483  966 
The factors of 1000 are: 1  2  4  5  8  10  20  25  40  50  100  125  200  250  500  1000 
So for 966 and 1000 that gives us a GCF value of: 2

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.
966/1000
  =  
966 ÷ 2/1000 ÷ 2
  =  
483/500


Good work! We have just walked through the steps on how to represent 0.966 as a fraction.

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