What is 1.41168 as a fraction?

Answer: 1.41168 as a fraction equals 141168/100000 or 8823/6250

Here is the solution for converting 1.41168 to a fraction:

Step 1:

First, we write 1.41168 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!

1.41168/1

  =  

1.41168 x 100000/1 x 100000

  =  

141168/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 141168 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 141168 are: 1  2  3  4  6  8  12  16  17  24  34  48  51  68  102  136  173  204  272  346  408  519  692  816  1038  1384  2076  2768  2941  4152  5882  8304  8823  11764  17646  23528  35292  47056  70584  141168 
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 141168 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.

141168/100000

  =  

141168 ÷ 16/100000 ÷ 16

  =  

8823/6250

Good work! We have just walked through the steps on how to represent 1.41168 as a fraction.