What is 1.05216 as a fraction?

Answer: 1.05216 as a fraction equals 105216/100000 or 3288/3125

Here is the solution for converting 1.05216 to a fraction:

Step 1:

First, we write 1.05216 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!

1.05216/1

  =  

1.05216 x 100000/1 x 100000

  =  

105216/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 105216 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 105216 are: 1  2  3  4  6  8  12  16  24  32  48  64  96  128  137  192  256  274  384  411  548  768  822  1096  1644  2192  3288  4384  6576  8768  13152  17536  26304  35072  52608  105216 
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 105216 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.

105216/100000

  =  

105216 ÷ 32/100000 ÷ 32

  =  

3288/3125

Good work! We have just walked through the steps on how to represent 1.05216 as a fraction.