What is 1.02312 as a fraction?

Answer: 1.02312 as a fraction equals 102312/100000 or 12789/12500

Here is the solution for converting 1.02312 to a fraction:

Step 1:

First, we write 1.02312 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!

1.02312/1

  =  

1.02312 x 100000/1 x 100000

  =  

102312/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 102312 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 102312 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  28  29  36  42  49  56  58  63  72  84  87  98  116  126  147  168  174  196  203  232  252  261  294  348  392  406  441  504  522  588  609  696  812  882  1044  1176  1218  1421  1624  1764  1827  2088  2436  2842  3528  3654  4263  4872  5684  7308  8526  11368  12789  14616  17052  25578  34104  51156  102312 
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 102312 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.

102312/100000

  =  

102312 ÷ 8/100000 ÷ 8

  =  

12789/12500

Good work! We have just walked through the steps on how to represent 1.02312 as a fraction.