What is 1.21856 as a fraction?

Answer: 1.21856 as a fraction equals 121856/100000 or 3808/3125

Here is the solution for converting 1.21856 to a fraction:

Step 1:

First, we write 1.21856 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!

1.21856/1

  =  

1.21856 x 100000/1 x 100000

  =  

121856/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 121856 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 121856 are: 1  2  4  7  8  14  16  17  28  32  34  56  64  68  112  119  128  136  224  238  256  272  448  476  512  544  896  952  1024  1088  1792  1904  2176  3584  3808  4352  7168  7616  8704  15232  17408  30464  60928  121856 
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 121856 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.

121856/100000

  =  

121856 ÷ 32/100000 ÷ 32

  =  

3808/3125

Good work! We have just walked through the steps on how to represent 1.21856 as a fraction.