What is 0.54144 as a fraction?

Answer: 0.54144 as a fraction equals 54144/100000 or 1692/3125

Here is the solution for converting 0.54144 to a fraction:

Step 1:

First, we write 0.54144 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!

0.54144/1

  =  

0.54144 x 100000/1 x 100000

  =  

54144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 54144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 54144 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  47  48  64  72  94  96  128  141  144  188  192  282  288  376  384  423  564  576  752  846  1128  1152  1504  1692  2256  3008  3384  4512  6016  6768  9024  13536  18048  27072  54144 
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 54144 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.

54144/100000

  =  

54144 ÷ 32/100000 ÷ 32

  =  

1692/3125

Good work! We have just walked through the steps on how to represent 0.54144 as a fraction.