What is 1.81296 as a fraction?

Answer: 1.81296 as a fraction equals 181296/100000 or 11331/6250

Here is the solution for converting 1.81296 to a fraction:

Step 1:

First, we write 1.81296 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!

1.81296/1

  =  

1.81296 x 100000/1 x 100000

  =  

181296/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 181296 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 181296 are: 1  2  3  4  6  8  9  12  16  18  24  36  48  72  144  1259  2518  3777  5036  7554  10072  11331  15108  20144  22662  30216  45324  60432  90648  181296 
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 181296 and 100000 that gives us a GCF value of: 16

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.

181296/100000

  =  

181296 ÷ 16/100000 ÷ 16

  =  

11331/6250

Good work! We have just walked through the steps on how to represent 1.81296 as a fraction.