What is 2.12952 as a fraction?

Answer: 2.12952 as a fraction equals 212952/100000 or 26619/12500

Here is the solution for converting 2.12952 to a fraction:

Step 1:

First, we write 2.12952 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!

2.12952/1

  =  

2.12952 x 100000/1 x 100000

  =  

212952/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 212952 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 212952 are: 1  2  3  4  6  8  12  19  24  38  57  76  114  152  228  456  467  934  1401  1868  2802  3736  5604  8873  11208  17746  26619  35492  53238  70984  106476  212952 
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 212952 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.

212952/100000

  =  

212952 ÷ 8/100000 ÷ 8

  =  

26619/12500

Good work! We have just walked through the steps on how to represent 2.12952 as a fraction.