What is 7.33628 as a fraction?

Answer: 7.33628 as a fraction equals 733628/100000 or 183407/25000

Here is the solution for converting 7.33628 to a fraction:

Step 1:

First, we write 7.33628 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!

7.33628/1

  =  

7.33628 x 100000/1 x 100000

  =  

733628/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 733628 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 733628 are: 1  2  4  7  14  19  28  38  49  76  98  133  196  197  266  394  532  788  931  1379  1862  2758  3724  3743  5516  7486  9653  14972  19306  26201  38612  52402  104804  183407  366814  733628 
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 733628 and 100000 that gives us a GCF value of: 4

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.

733628/100000

  =  

733628 ÷ 4/100000 ÷ 4

  =  

183407/25000

Good work! We have just walked through the steps on how to represent 7.33628 as a fraction.