What is 1.1808 as a fraction?

Answer: 1.1808 as a fraction equals 11808/10000 or 738/625

Here is the solution for converting 1.1808 to a fraction:

Step 1:

First, we write 1.1808 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!

1.1808/1

  =  

1.1808 x 10000/1 x 10000

  =  

11808/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 11808 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 11808 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  41  48  72  82  96  123  144  164  246  288  328  369  492  656  738  984  1312  1476  1968  2952  3936  5904  11808 
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 11808 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.

11808/10000

  =  

11808 ÷ 16/10000 ÷ 16

  =  

738/625

Good work! We have just walked through the steps on how to represent 1.1808 as a fraction.