What is 7.128 as a fraction?

Answer: 7.128 as a fraction equals 7128/1000 or 891/125

Here is the solution for converting 7.128 to a fraction:

Step 1:

First, we write 7.128 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!

7.128/1

  =  

7.128 x 1000/1 x 1000

  =  

7128/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7128 and 1000. A factor is a number that divides into another number without any remainder.

The factors of 7128 are: 1  2  3  4  6  8  9  11  12  18  22  24  27  33  36  44  54  66  72  81  88  99  108  132  162  198  216  264  297  324  396  594  648  792  891  1188  1782  2376  3564  7128 
The factors of 1000 are: 1  2  4  5  8  10  20  25  40  50  100  125  200  250  500  1000 
So for 7128 and 1000 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.

7128/1000

  =  

7128 ÷ 8/1000 ÷ 8

  =  

891/125

Good work! We have just walked through the steps on how to represent 7.128 as a fraction.