What is 1.22304 as a fraction?

Answer: 1.22304 as a fraction equals 122304/100000 or 3822/3125

Here is the solution for converting 1.22304 to a fraction:

Step 1:

First, we write 1.22304 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!

1.22304/1

  =  

1.22304 x 100000/1 x 100000

  =  

122304/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 122304 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 122304 are: 1  2  3  4  6  7  8  12  13  14  16  21  24  26  28  32  39  42  48  49  52  56  64  78  84  91  96  98  104  112  147  156  168  182  192  196  208  224  273  294  312  336  364  392  416  448  546  588  624  637  672  728  784  832  1092  1176  1248  1274  1344  1456  1568  1911  2184  2352  2496  2548  2912  3136  3822  4368  4704  5096  5824  7644  8736  9408  10192  15288  17472  20384  30576  40768  61152  122304 
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 122304 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.

122304/100000

  =  

122304 ÷ 32/100000 ÷ 32

  =  

3822/3125

Good work! We have just walked through the steps on how to represent 1.22304 as a fraction.