What is 0.75208 as a fraction?

Answer: 0.75208 as a fraction equals 75208/100000 or 9401/12500

Here is the solution for converting 0.75208 to a fraction:

Step 1:

First, we write 0.75208 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!

0.75208/1

  =  

0.75208 x 100000/1 x 100000

  =  

75208/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 75208 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 75208 are: 1  2  4  7  8  14  17  28  34  56  68  79  119  136  158  238  316  476  553  632  952  1106  1343  2212  2686  4424  5372  9401  10744  18802  37604  75208 
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 75208 and 100000 that gives us a GCF value of: 8

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.

75208/100000

  =  

75208 ÷ 8/100000 ÷ 8

  =  

9401/12500

Good work! We have just walked through the steps on how to represent 0.75208 as a fraction.