What is 1.3824 as a fraction?

Answer: 1.3824 as a fraction equals 13824/10000 or 864/625

Here is the solution for converting 1.3824 to a fraction:

Step 1:

First, we write 1.3824 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!

1.3824/1

  =  

1.3824 x 10000/1 x 10000

  =  

13824/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 13824 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 13824 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  48  54  64  72  96  108  128  144  192  216  256  288  384  432  512  576  768  864  1152  1536  1728  2304  3456  4608  6912  13824 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 13824 and 10000 that gives us a GCF value of: 16

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.

13824/10000

  =  

13824 ÷ 16/10000 ÷ 16

  =  

864/625

Good work! We have just walked through the steps on how to represent 1.3824 as a fraction.