What is 1.05696 as a fraction?

Answer: 1.05696 as a fraction equals 105696/100000 or 3303/3125

Here is the solution for converting 1.05696 to a fraction:

Step 1:

First, we write 1.05696 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!

1.05696/1

  =  

1.05696 x 100000/1 x 100000

  =  

105696/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 105696 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 105696 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  48  72  96  144  288  367  734  1101  1468  2202  2936  3303  4404  5872  6606  8808  11744  13212  17616  26424  35232  52848  105696 
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 105696 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.

105696/100000

  =  

105696 ÷ 32/100000 ÷ 32

  =  

3303/3125

Good work! We have just walked through the steps on how to represent 1.05696 as a fraction.