What is 0.88128 as a fraction?

Answer: 0.88128 as a fraction equals 88128/100000 or 2754/3125

Here is the solution for converting 0.88128 to a fraction:

Step 1:

First, we write 0.88128 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!

0.88128/1

  =  

0.88128 x 100000/1 x 100000

  =  

88128/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 88128 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 88128 are: 1  2  3  4  6  8  9  12  16  17  18  24  27  32  34  36  48  51  54  64  68  72  81  96  102  108  136  144  153  162  192  204  216  272  288  306  324  408  432  459  544  576  612  648  816  864  918  1088  1224  1296  1377  1632  1728  1836  2448  2592  2754  3264  3672  4896  5184  5508  7344  9792  11016  14688  22032  29376  44064  88128 
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 88128 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.

88128/100000

  =  

88128 ÷ 32/100000 ÷ 32

  =  

2754/3125

Good work! We have just walked through the steps on how to represent 0.88128 as a fraction.