What is 3.82464 as a fraction?

Answer: 3.82464 as a fraction equals 382464/100000 or 11952/3125

Here is the solution for converting 3.82464 to a fraction:

Step 1:

First, we write 3.82464 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!

3.82464/1

  =  

3.82464 x 100000/1 x 100000

  =  

382464/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 382464 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 382464 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  48  64  72  83  96  128  144  166  192  249  256  288  332  384  498  512  576  664  747  768  996  1152  1328  1494  1536  1992  2304  2656  2988  3984  4608  5312  5976  7968  10624  11952  15936  21248  23904  31872  42496  47808  63744  95616  127488  191232  382464 
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 382464 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.

382464/100000

  =  

382464 ÷ 32/100000 ÷ 32

  =  

11952/3125

Good work! We have just walked through the steps on how to represent 3.82464 as a fraction.