What is 1.35872 as a fraction?

Answer: 1.35872 as a fraction equals 135872/100000 or 4246/3125

Here is the solution for converting 1.35872 to a fraction:

Step 1:

First, we write 1.35872 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!

1.35872/1

  =  

1.35872 x 100000/1 x 100000

  =  

135872/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 135872 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 135872 are: 1  2  4  8  11  16  22  32  44  64  88  176  193  352  386  704  772  1544  2123  3088  4246  6176  8492  12352  16984  33968  67936  135872 
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 135872 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.

135872/100000

  =  

135872 ÷ 32/100000 ÷ 32

  =  

4246/3125

Good work! We have just walked through the steps on how to represent 1.35872 as a fraction.