What is 1.16144 as a fraction?

Answer: 1.16144 as a fraction equals 116144/100000 or 7259/6250

Here is the solution for converting 1.16144 to a fraction:

Step 1:

First, we write 1.16144 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!

1.16144/1

  =  

1.16144 x 100000/1 x 100000

  =  

116144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 116144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 116144 are: 1  2  4  7  8  14  16  17  28  34  56  61  68  112  119  122  136  238  244  272  427  476  488  854  952  976  1037  1708  1904  2074  3416  4148  6832  7259  8296  14518  16592  29036  58072  116144 
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 116144 and 100000 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.

116144/100000

  =  

116144 ÷ 16/100000 ÷ 16

  =  

7259/6250

Good work! We have just walked through the steps on how to represent 1.16144 as a fraction.