What is 1.10208 as a fraction?

Answer: 1.10208 as a fraction equals 110208/100000 or 3444/3125

Here is the solution for converting 1.10208 to a fraction:

Step 1:

First, we write 1.10208 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!

1.10208/1

  =  

1.10208 x 100000/1 x 100000

  =  

110208/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 110208 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 110208 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  41  42  48  56  64  82  84  96  112  123  128  164  168  192  224  246  287  328  336  384  448  492  574  656  672  861  896  984  1148  1312  1344  1722  1968  2296  2624  2688  3444  3936  4592  5248  6888  7872  9184  13776  15744  18368  27552  36736  55104  110208 
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 110208 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.

110208/100000

  =  

110208 ÷ 32/100000 ÷ 32

  =  

3444/3125

Good work! We have just walked through the steps on how to represent 1.10208 as a fraction.