What is 0.76128 as a fraction?

Answer: 0.76128 as a fraction equals 76128/100000 or 2379/3125

Here is the solution for converting 0.76128 to a fraction:

Step 1:

First, we write 0.76128 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!

0.76128/1

  =  

0.76128 x 100000/1 x 100000

  =  

76128/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 76128 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 76128 are: 1  2  3  4  6  8  12  13  16  24  26  32  39  48  52  61  78  96  104  122  156  183  208  244  312  366  416  488  624  732  793  976  1248  1464  1586  1952  2379  2928  3172  4758  5856  6344  9516  12688  19032  25376  38064  76128 
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 76128 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.

76128/100000

  =  

76128 ÷ 32/100000 ÷ 32

  =  

2379/3125

Good work! We have just walked through the steps on how to represent 0.76128 as a fraction.