What is 0.98176 as a fraction?

Answer: 0.98176 as a fraction equals 98176/100000 or 3068/3125

Here is the solution for converting 0.98176 to a fraction:

Step 1:

First, we write 0.98176 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!

0.98176/1

  =  

0.98176 x 100000/1 x 100000

  =  

98176/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 98176 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 98176 are: 1  2  4  8  13  16  26  32  52  59  64  104  118  128  208  236  416  472  767  832  944  1534  1664  1888  3068  3776  6136  7552  12272  24544  49088  98176 
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 98176 and 100000 that gives us a GCF value of: 32

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.

98176/100000

  =  

98176 ÷ 32/100000 ÷ 32

  =  

3068/3125

Good work! We have just walked through the steps on how to represent 0.98176 as a fraction.