What is 1.33728 as a fraction?

Answer: 1.33728 as a fraction equals 133728/100000 or 4179/3125

Here is the solution for converting 1.33728 to a fraction:

Step 1:

First, we write 1.33728 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!

1.33728/1

  =  

1.33728 x 100000/1 x 100000

  =  

133728/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 133728 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 133728 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  56  84  96  112  168  199  224  336  398  597  672  796  1194  1393  1592  2388  2786  3184  4179  4776  5572  6368  8358  9552  11144  16716  19104  22288  33432  44576  66864  133728 
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 133728 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.

133728/100000

  =  

133728 ÷ 32/100000 ÷ 32

  =  

4179/3125

Good work! We have just walked through the steps on how to represent 1.33728 as a fraction.