What is 0.34272 as a fraction?

Answer: 0.34272 as a fraction equals 34272/100000 or 1071/3125

Here is the solution for converting 0.34272 to a fraction:

Step 1:

First, we write 0.34272 as  

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!

0.34272/1

  =  

0.34272 x 100000/1 x 100000

  =  

34272/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 34272 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 34272 are: 1  2  3  4  6  7  8  9  12  14  16  17  18  21  24  28  32  34  36  42  48  51  56  63  68  72  84  96  102  112  119  126  136  144  153  168  204  224  238  252  272  288  306  336  357  408  476  504  544  612  672  714  816  952  1008  1071  1224  1428  1632  1904  2016  2142  2448  2856  3808  4284  4896  5712  8568  11424  17136  34272 
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 34272 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.

34272/100000

  =  

34272 ÷ 32/100000 ÷ 32

  =  

1071/3125

Good work! We have just walked through the steps on how to represent 0.34272 as a fraction.