What is 1.7136 as a fraction?

Answer: 1.7136 as a fraction equals 17136/10000 or 1071/625

Here is the solution for converting 1.7136 to a fraction:

Step 1:

First, we write 1.7136 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!

1.7136/1

  =  

1.7136 x 10000/1 x 10000

  =  

17136/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 17136 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 17136 are: 1  2  3  4  6  7  8  9  12  14  16  17  18  21  24  28  34  36  42  48  51  56  63  68  72  84  102  112  119  126  136  144  153  168  204  238  252  272  306  336  357  408  476  504  612  714  816  952  1008  1071  1224  1428  1904  2142  2448  2856  4284  5712  8568  17136 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 17136 and 10000 that gives us a GCF value of: 16

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.

17136/10000

  =  

17136 ÷ 16/10000 ÷ 16

  =  

1071/625

Good work! We have just walked through the steps on how to represent 1.7136 as a fraction.