What is 1.2312 as a fraction?

Answer: 1.2312 as a fraction equals 12312/10000 or 1539/1250

Here is the solution for converting 1.2312 to a fraction:

Step 1:

First, we write 1.2312 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!

1.2312/1

  =  

1.2312 x 10000/1 x 10000

  =  

12312/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 12312 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 12312 are: 1  2  3  4  6  8  9  12  18  19  24  27  36  38  54  57  72  76  81  108  114  152  162  171  216  228  324  342  456  513  648  684  1026  1368  1539  2052  3078  4104  6156  12312 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 12312 and 10000 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.

12312/10000

  =  

12312 ÷ 8/10000 ÷ 8

  =  

1539/1250

Good work! We have just walked through the steps on how to represent 1.2312 as a fraction.