What is 0.4428 as a fraction?

Answer: 0.4428 as a fraction equals 4428/10000 or 1107/2500

Here is the solution for converting 0.4428 to a fraction:

Step 1:

First, we write 0.4428 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!

0.4428/1

  =  

0.4428 x 10000/1 x 10000

  =  

4428/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 4428 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 4428 are: 1  2  3  4  6  9  12  18  27  36  41  54  82  108  123  164  246  369  492  738  1107  1476  2214  4428 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 4428 and 10000 that gives us a GCF value of: 4

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.

4428/10000

  =  

4428 ÷ 4/10000 ÷ 4

  =  

1107/2500

Good work! We have just walked through the steps on how to represent 0.4428 as a fraction.