What is 3.52128 as a fraction?

Answer: 3.52128 as a fraction equals 352128/100000 or 11004/3125

Here is the solution for converting 3.52128 to a fraction:

Step 1:

First, we write 3.52128 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!

3.52128/1

  =  

3.52128 x 100000/1 x 100000

  =  

352128/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 352128 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 352128 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  56  64  84  96  112  128  131  168  192  224  262  336  384  393  448  524  672  786  896  917  1048  1344  1572  1834  2096  2688  2751  3144  3668  4192  5502  6288  7336  8384  11004  12576  14672  16768  22008  25152  29344  44016  50304  58688  88032  117376  176064  352128 
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 352128 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.

352128/100000

  =  

352128 ÷ 32/100000 ÷ 32

  =  

11004/3125

Good work! We have just walked through the steps on how to represent 3.52128 as a fraction.