What is 4.76064 as a fraction?

Answer: 4.76064 as a fraction equals 476064/100000 or 14877/3125

Here is the solution for converting 4.76064 to a fraction:

Step 1:

First, we write 4.76064 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!

4.76064/1

  =  

4.76064 x 100000/1 x 100000

  =  

476064/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 476064 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 476064 are: 1  2  3  4  6  8  9  12  16  18  19  24  27  29  32  36  38  48  54  57  58  72  76  87  96  108  114  116  144  152  171  174  216  228  232  261  288  304  342  348  432  456  464  513  522  551  608  684  696  783  864  912  928  1026  1044  1102  1368  1392  1566  1653  1824  2052  2088  2204  2736  2784  3132  3306  4104  4176  4408  4959  5472  6264  6612  8208  8352  8816  9918  12528  13224  14877  16416  17632  19836  25056  26448  29754  39672  52896  59508  79344  119016  158688  238032  476064 
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 476064 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.

476064/100000

  =  

476064 ÷ 32/100000 ÷ 32

  =  

14877/3125

Good work! We have just walked through the steps on how to represent 4.76064 as a fraction.