What is 2.11968 as a fraction?

Answer: 2.11968 as a fraction equals 211968/100000 or 6624/3125

Here is the solution for converting 2.11968 to a fraction:

Step 1:

First, we write 2.11968 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!

2.11968/1

  =  

2.11968 x 100000/1 x 100000

  =  

211968/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 211968 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 211968 are: 1  2  3  4  6  8  9  12  16  18  23  24  32  36  46  48  64  69  72  92  96  128  138  144  184  192  207  256  276  288  368  384  414  512  552  576  736  768  828  1024  1104  1152  1472  1536  1656  2208  2304  2944  3072  3312  4416  4608  5888  6624  8832  9216  11776  13248  17664  23552  26496  35328  52992  70656  105984  211968 
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 211968 and 100000 that gives us a GCF value of: 32

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.

211968/100000

  =  

211968 ÷ 32/100000 ÷ 32

  =  

6624/3125

Good work! We have just walked through the steps on how to represent 2.11968 as a fraction.