What is 1.12224 as a fraction?

Answer: 1.12224 as a fraction equals 112224/100000 or 3507/3125

Here is the solution for converting 1.12224 to a fraction:

Step 1:

First, we write 1.12224 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!

1.12224/1

  =  

1.12224 x 100000/1 x 100000

  =  

112224/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 112224 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 112224 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  56  84  96  112  167  168  224  334  336  501  668  672  1002  1169  1336  2004  2338  2672  3507  4008  4676  5344  7014  8016  9352  14028  16032  18704  28056  37408  56112  112224 
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 112224 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.

112224/100000

  =  

112224 ÷ 32/100000 ÷ 32

  =  

3507/3125

Good work! We have just walked through the steps on how to represent 1.12224 as a fraction.