What is 4.59375 as a fraction?

Answer: 4.59375 as a fraction equals 459375/100000 or 147/32

Here is the solution for converting 4.59375 to a fraction:

Step 1:

First, we write 4.59375 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!

4.59375/1

  =  

4.59375 x 100000/1 x 100000

  =  

459375/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 459375 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 459375 are: 1  3  5  7  15  21  25  35  49  75  105  125  147  175  245  375  525  625  735  875  1225  1875  2625  3125  3675  4375  6125  9375  13125  18375  21875  30625  65625  91875  153125  459375 
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 459375 and 100000 that gives us a GCF value of: 3125

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.

459375/100000

  =  

459375 ÷ 3125/100000 ÷ 3125

  =  

147/32

Good work! We have just walked through the steps on how to represent 4.59375 as a fraction.