What is 0.75924 as a fraction?

Answer: 0.75924 as a fraction equals 75924/100000 or 18981/25000

Here is the solution for converting 0.75924 to a fraction:

Step 1:

First, we write 0.75924 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!

0.75924/1

  =  

0.75924 x 100000/1 x 100000

  =  

75924/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 75924 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 75924 are: 1  2  3  4  6  9  12  18  19  27  36  37  38  54  57  74  76  108  111  114  148  171  222  228  333  342  444  513  666  684  703  999  1026  1332  1406  1998  2052  2109  2812  3996  4218  6327  8436  12654  18981  25308  37962  75924 
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 75924 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.

75924/100000

  =  

75924 ÷ 4/100000 ÷ 4

  =  

18981/25000

Good work! We have just walked through the steps on how to represent 0.75924 as a fraction.