What is 1.76204 as a fraction?

Answer: 1.76204 as a fraction equals 176204/100000 or 44051/25000

Here is the solution for converting 1.76204 to a fraction:

Step 1:

First, we write 1.76204 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!

1.76204/1

  =  

1.76204 x 100000/1 x 100000

  =  

176204/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 176204 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 176204 are: 1  2  4  7  14  28  29  31  49  58  62  98  116  124  196  203  217  406  434  812  868  899  1421  1519  1798  2842  3038  3596  5684  6076  6293  12586  25172  44051  88102  176204 
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 176204 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.

176204/100000

  =  

176204 ÷ 4/100000 ÷ 4

  =  

44051/25000

Good work! We have just walked through the steps on how to represent 1.76204 as a fraction.