What is 1.16416 as a fraction?

Answer: 1.16416 as a fraction equals 116416/100000 or 3638/3125

Here is the solution for converting 1.16416 to a fraction:

Step 1:

First, we write 1.16416 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!

1.16416/1

  =  

1.16416 x 100000/1 x 100000

  =  

116416/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 116416 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 116416 are: 1  2  4  8  16  17  32  34  64  68  107  136  214  272  428  544  856  1088  1712  1819  3424  3638  6848  7276  14552  29104  58208  116416 
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 116416 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.

116416/100000

  =  

116416 ÷ 32/100000 ÷ 32

  =  

3638/3125

Good work! We have just walked through the steps on how to represent 1.16416 as a fraction.