What is 5.14368 as a fraction?

Answer: 5.14368 as a fraction equals 514368/100000 or 16074/3125

Here is the solution for converting 5.14368 to a fraction:

Step 1:

First, we write 5.14368 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!

5.14368/1

  =  

5.14368 x 100000/1 x 100000

  =  

514368/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 514368 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 514368 are: 1  2  3  4  6  8  9  12  16  18  19  24  32  36  38  47  48  57  64  72  76  94  96  114  141  144  152  171  188  192  228  282  288  304  342  376  423  456  564  576  608  684  752  846  893  912  1128  1216  1368  1504  1692  1786  1824  2256  2679  2736  3008  3384  3572  3648  4512  5358  5472  6768  7144  8037  9024  10716  10944  13536  14288  16074  21432  27072  28576  32148  42864  57152  64296  85728  128592  171456  257184  514368 
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 514368 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.

514368/100000

  =  

514368 ÷ 32/100000 ÷ 32

  =  

16074/3125

Good work! We have just walked through the steps on how to represent 5.14368 as a fraction.