What is 4.65888 as a fraction?

Answer: 4.65888 as a fraction equals 465888/100000 or 14559/3125

Here is the solution for converting 4.65888 to a fraction:

Step 1:

First, we write 4.65888 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!

4.65888/1

  =  

4.65888 x 100000/1 x 100000

  =  

465888/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 465888 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 465888 are: 1  2  3  4  6  8  12  16  23  24  32  46  48  69  92  96  138  184  211  276  368  422  552  633  736  844  1104  1266  1688  2208  2532  3376  4853  5064  6752  9706  10128  14559  19412  20256  29118  38824  58236  77648  116472  155296  232944  465888 
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 465888 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.

465888/100000

  =  

465888 ÷ 32/100000 ÷ 32

  =  

14559/3125

Good work! We have just walked through the steps on how to represent 4.65888 as a fraction.