What is 3.78448 as a fraction?

Answer: 3.78448 as a fraction equals 378448/100000 or 23653/6250

Here is the solution for converting 3.78448 to a fraction:

Step 1:

First, we write 3.78448 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!

3.78448/1

  =  

3.78448 x 100000/1 x 100000

  =  

378448/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 378448 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 378448 are: 1  2  4  7  8  14  16  28  31  56  62  109  112  124  217  218  248  434  436  496  763  868  872  1526  1736  1744  3052  3379  3472  6104  6758  12208  13516  23653  27032  47306  54064  94612  189224  378448 
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 378448 and 100000 that gives us a GCF value of: 16

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.

378448/100000

  =  

378448 ÷ 16/100000 ÷ 16

  =  

23653/6250

Good work! We have just walked through the steps on how to represent 3.78448 as a fraction.