What is 4.02752 as a fraction?

Answer: 4.02752 as a fraction equals 402752/100000 or 12586/3125

Here is the solution for converting 4.02752 to a fraction:

Step 1:

First, we write 4.02752 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!

4.02752/1

  =  

4.02752 x 100000/1 x 100000

  =  

402752/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 402752 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 402752 are: 1  2  4  7  8  14  16  28  29  31  32  56  58  62  64  112  116  124  203  217  224  232  248  406  434  448  464  496  812  868  899  928  992  1624  1736  1798  1856  1984  3248  3472  3596  6293  6496  6944  7192  12586  12992  13888  14384  25172  28768  50344  57536  100688  201376  402752 
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 402752 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.

402752/100000

  =  

402752 ÷ 32/100000 ÷ 32

  =  

12586/3125

Good work! We have just walked through the steps on how to represent 4.02752 as a fraction.