What is 1.20258 as a fraction?

Answer: 1.20258 as a fraction equals 120258/100000 or 60129/50000

Here is the solution for converting 1.20258 to a fraction:

Step 1:

First, we write 1.20258 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!

1.20258/1

  =  

1.20258 x 100000/1 x 100000

  =  

120258/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 120258 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 120258 are: 1  2  3  6  9  17  18  27  34  51  54  102  131  153  262  306  393  459  786  918  1179  2227  2358  3537  4454  6681  7074  13362  20043  40086  60129  120258 
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 120258 and 100000 that gives us a GCF value of: 2

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.

120258/100000

  =  

120258 ÷ 2/100000 ÷ 2

  =  

60129/50000

Good work! We have just walked through the steps on how to represent 1.20258 as a fraction.