What is 1.02024 as a fraction?

Answer: 1.02024 as a fraction equals 102024/100000 or 12753/12500

Here is the solution for converting 1.02024 to a fraction:

Step 1:

First, we write 1.02024 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!

1.02024/1

  =  

1.02024 x 100000/1 x 100000

  =  

102024/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 102024 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 102024 are: 1  2  3  4  6  8  9  12  13  18  24  26  36  39  52  72  78  104  109  117  156  218  234  312  327  436  468  654  872  936  981  1308  1417  1962  2616  2834  3924  4251  5668  7848  8502  11336  12753  17004  25506  34008  51012  102024 
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 102024 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.

102024/100000

  =  

102024 ÷ 8/100000 ÷ 8

  =  

12753/12500

Good work! We have just walked through the steps on how to represent 1.02024 as a fraction.