What is 0.40144 as a fraction?

Answer: 0.40144 as a fraction equals 40144/100000 or 2509/6250

Here is the solution for converting 0.40144 to a fraction:

Step 1:

First, we write 0.40144 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!

0.40144/1

  =  

0.40144 x 100000/1 x 100000

  =  

40144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 40144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 40144 are: 1  2  4  8  13  16  26  52  104  193  208  386  772  1544  2509  3088  5018  10036  20072  40144 
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 40144 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.

40144/100000

  =  

40144 ÷ 16/100000 ÷ 16

  =  

2509/6250

Good work! We have just walked through the steps on how to represent 0.40144 as a fraction.