What is 1.05248 as a fraction?

Answer: 1.05248 as a fraction equals 105248/100000 or 3289/3125

Here is the solution for converting 1.05248 to a fraction:

Step 1:

First, we write 1.05248 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!

1.05248/1

  =  

1.05248 x 100000/1 x 100000

  =  

105248/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 105248 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 105248 are: 1  2  4  8  11  13  16  22  23  26  32  44  46  52  88  92  104  143  176  184  208  253  286  299  352  368  416  506  572  598  736  1012  1144  1196  2024  2288  2392  3289  4048  4576  4784  6578  8096  9568  13156  26312  52624  105248 
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 105248 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.

105248/100000

  =  

105248 ÷ 32/100000 ÷ 32

  =  

3289/3125

Good work! We have just walked through the steps on how to represent 1.05248 as a fraction.