What is 0.96672 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 0.96672 into a fraction.

Answer: 0.96672 as a fraction equals 96672/100000 or 3021/3125

Here is the solution for converting 0.96672 to a fraction:

Step 1:

First, we write 0.96672 as  
0.96672/1

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!
0.96672/1
  =  
0.96672 x 100000/1 x 100000
  =  
96672/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 96672 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 96672 are: 1  2  3  4  6  8  12  16  19  24  32  38  48  53  57  76  96  106  114  152  159  212  228  304  318  424  456  608  636  848  912  1007  1272  1696  1824  2014  2544  3021  4028  5088  6042  8056  12084  16112  24168  32224  48336  96672 
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 96672 and 100000 that gives us a GCF value of: 32

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.
96672/100000
  =  
96672 ÷ 32/100000 ÷ 32
  =  
3021/3125


Good work! We have just walked through the steps on how to represent 0.96672 as a fraction.

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