What is 0.45584 as a fraction?

Answer: 0.45584 as a fraction equals 45584/100000 or 2849/6250

Here is the solution for converting 0.45584 to a fraction:

Step 1:

First, we write 0.45584 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!

0.45584/1

  =  

0.45584 x 100000/1 x 100000

  =  

45584/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 45584 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 45584 are: 1  2  4  7  8  11  14  16  22  28  37  44  56  74  77  88  112  148  154  176  259  296  308  407  518  592  616  814  1036  1232  1628  2072  2849  3256  4144  5698  6512  11396  22792  45584 
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 45584 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.

45584/100000

  =  

45584 ÷ 16/100000 ÷ 16

  =  

2849/6250

Good work! We have just walked through the steps on how to represent 0.45584 as a fraction.