What is 1.54728 as a fraction?

Answer: 1.54728 as a fraction equals 154728/100000 or 19341/12500

Here is the solution for converting 1.54728 to a fraction:

Step 1:

First, we write 1.54728 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!

1.54728/1

  =  

1.54728 x 100000/1 x 100000

  =  

154728/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 154728 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 154728 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  28  36  42  56  63  72  84  126  168  252  307  504  614  921  1228  1842  2149  2456  2763  3684  4298  5526  6447  7368  8596  11052  12894  17192  19341  22104  25788  38682  51576  77364  154728 
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 154728 and 100000 that gives us a GCF value of: 8

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.

154728/100000

  =  

154728 ÷ 8/100000 ÷ 8

  =  

19341/12500

Good work! We have just walked through the steps on how to represent 1.54728 as a fraction.