What is 2.12148 as a fraction?

Answer: 2.12148 as a fraction equals 212148/100000 or 53037/25000

Here is the solution for converting 2.12148 to a fraction:

Step 1:

First, we write 2.12148 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!

2.12148/1

  =  

2.12148 x 100000/1 x 100000

  =  

212148/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 212148 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 212148 are: 1  2  3  4  6  9  12  18  36  71  83  142  166  213  249  284  332  426  498  639  747  852  996  1278  1494  2556  2988  5893  11786  17679  23572  35358  53037  70716  106074  212148 
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 212148 and 100000 that gives us a GCF value of: 4

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.

212148/100000

  =  

212148 ÷ 4/100000 ÷ 4

  =  

53037/25000

Good work! We have just walked through the steps on how to represent 2.12148 as a fraction.