What is 0.98175 as a fraction?

Answer: 0.98175 as a fraction equals 98175/100000 or 3927/4000

Here is the solution for converting 0.98175 to a fraction:

Step 1:

First, we write 0.98175 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!

0.98175/1

  =  

0.98175 x 100000/1 x 100000

  =  

98175/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 98175 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 98175 are: 1  3  5  7  11  15  17  21  25  33  35  51  55  75  77  85  105  119  165  175  187  231  255  275  357  385  425  525  561  595  825  935  1155  1275  1309  1785  1925  2805  2975  3927  4675  5775  6545  8925  14025  19635  32725  98175 
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 98175 and 100000 that gives us a GCF value of: 25

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.

98175/100000

  =  

98175 ÷ 25/100000 ÷ 25

  =  

3927/4000

Good work! We have just walked through the steps on how to represent 0.98175 as a fraction.