What is 1.02168 as a fraction?

Answer: 1.02168 as a fraction equals 102168/100000 or 12771/12500

Here is the solution for converting 1.02168 to a fraction:

Step 1:

First, we write 1.02168 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!

1.02168/1

  =  

1.02168 x 100000/1 x 100000

  =  

102168/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 102168 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 102168 are: 1  2  3  4  6  8  9  11  12  18  22  24  27  33  36  43  44  54  66  72  86  88  99  108  129  132  172  198  216  258  264  297  344  387  396  473  516  594  774  792  946  1032  1161  1188  1419  1548  1892  2322  2376  2838  3096  3784  4257  4644  5676  8514  9288  11352  12771  17028  25542  34056  51084  102168 
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 102168 and 100000 that gives us a GCF value of: 8

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.

102168/100000

  =  

102168 ÷ 8/100000 ÷ 8

  =  

12771/12500

Good work! We have just walked through the steps on how to represent 1.02168 as a fraction.