What is 1.1856 as a fraction?

Answer: 1.1856 as a fraction equals 11856/10000 or 741/625

Here is the solution for converting 1.1856 to a fraction:

Step 1:

First, we write 1.1856 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!

1.1856/1

  =  

1.1856 x 10000/1 x 10000

  =  

11856/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 11856 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 11856 are: 1  2  3  4  6  8  12  13  16  19  24  26  38  39  48  52  57  76  78  104  114  152  156  208  228  247  304  312  456  494  624  741  912  988  1482  1976  2964  3952  5928  11856 
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 11856 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.

11856/10000

  =  

11856 ÷ 16/10000 ÷ 16

  =  

741/625

Good work! We have just walked through the steps on how to represent 1.1856 as a fraction.