What is 0.67032 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 0.67032 into a fraction.

Answer: 0.67032 as a fraction equals 67032/100000 or 8379/12500

Here is the solution for converting 0.67032 to a fraction:

Step 1:

First, we write 0.67032 as  
0.67032/1

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!
0.67032/1
  =  
0.67032 x 100000/1 x 100000
  =  
67032/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 67032 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 67032 are: 1  2  3  4  6  7  8  9  12  14  18  19  21  24  28  36  38  42  49  56  57  63  72  76  84  98  114  126  133  147  152  168  171  196  228  252  266  294  342  392  399  441  456  504  532  588  684  798  882  931  1064  1176  1197  1368  1596  1764  1862  2394  2793  3192  3528  3724  4788  5586  7448  8379  9576  11172  16758  22344  33516  67032 
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 67032 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.
67032/100000
  =  
67032 ÷ 8/100000 ÷ 8
  =  
8379/12500


Good work! We have just walked through the steps on how to represent 0.67032 as a fraction.

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