What is 7.21168 as a fraction?

Answer: 7.21168 as a fraction equals 721168/100000 or 45073/6250

Here is the solution for converting 7.21168 to a fraction:

Step 1:

First, we write 7.21168 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!

7.21168/1

  =  

7.21168 x 100000/1 x 100000

  =  

721168/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 721168 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 721168 are: 1  2  4  7  8  14  16  28  47  56  94  112  137  188  274  329  376  548  658  752  959  1096  1316  1918  2192  2632  3836  5264  6439  7672  12878  15344  25756  45073  51512  90146  103024  180292  360584  721168 
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 721168 and 100000 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.

721168/100000

  =  

721168 ÷ 16/100000 ÷ 16

  =  

45073/6250

Good work! We have just walked through the steps on how to represent 7.21168 as a fraction.