What is 0.53144 as a fraction?

Answer: 0.53144 as a fraction equals 53144/100000 or 6643/12500

Here is the solution for converting 0.53144 to a fraction:

Step 1:

First, we write 0.53144 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!

0.53144/1

  =  

0.53144 x 100000/1 x 100000

  =  

53144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 53144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 53144 are: 1  2  4  7  8  13  14  26  28  52  56  73  91  104  146  182  292  364  511  584  728  949  1022  1898  2044  3796  4088  6643  7592  13286  26572  53144 
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 53144 and 100000 that gives us a GCF value of: 8

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.

53144/100000

  =  

53144 ÷ 8/100000 ÷ 8

  =  

6643/12500

Good work! We have just walked through the steps on how to represent 0.53144 as a fraction.