What is 1.16256 as a fraction?

Answer: 1.16256 as a fraction equals 116256/100000 or 3633/3125

Here is the solution for converting 1.16256 to a fraction:

Step 1:

First, we write 1.16256 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!

1.16256/1

  =  

1.16256 x 100000/1 x 100000

  =  

116256/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 116256 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 116256 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  56  84  96  112  168  173  224  336  346  519  672  692  1038  1211  1384  2076  2422  2768  3633  4152  4844  5536  7266  8304  9688  14532  16608  19376  29064  38752  58128  116256 
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 116256 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.

116256/100000

  =  

116256 ÷ 32/100000 ÷ 32

  =  

3633/3125

Good work! We have just walked through the steps on how to represent 1.16256 as a fraction.