What is 0.71628 as a fraction?

Answer: 0.71628 as a fraction equals 71628/100000 or 17907/25000

Here is the solution for converting 0.71628 to a fraction:

Step 1:

First, we write 0.71628 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!

0.71628/1

  =  

0.71628 x 100000/1 x 100000

  =  

71628/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 71628 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 71628 are: 1  2  3  4  6  12  47  94  127  141  188  254  282  381  508  564  762  1524  5969  11938  17907  23876  35814  71628 
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 71628 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.

71628/100000

  =  

71628 ÷ 4/100000 ÷ 4

  =  

17907/25000

Good work! We have just walked through the steps on how to represent 0.71628 as a fraction.