What is 1.05156 as a fraction?

Answer: 1.05156 as a fraction equals 105156/100000 or 26289/25000

Here is the solution for converting 1.05156 to a fraction:

Step 1:

First, we write 1.05156 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!

1.05156/1

  =  

1.05156 x 100000/1 x 100000

  =  

105156/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 105156 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 105156 are: 1  2  3  4  6  9  12  18  23  36  46  69  92  127  138  207  254  276  381  414  508  762  828  1143  1524  2286  2921  4572  5842  8763  11684  17526  26289  35052  52578  105156 
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 105156 and 100000 that gives us a GCF value of: 4

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.

105156/100000

  =  

105156 ÷ 4/100000 ÷ 4

  =  

26289/25000

Good work! We have just walked through the steps on how to represent 1.05156 as a fraction.