What is 1.31424 as a fraction?

Answer: 1.31424 as a fraction equals 131424/100000 or 4107/3125

Here is the solution for converting 1.31424 to a fraction:

Step 1:

First, we write 1.31424 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!

1.31424/1

  =  

1.31424 x 100000/1 x 100000

  =  

131424/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 131424 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 131424 are: 1  2  3  4  6  8  12  16  24  32  37  48  74  96  111  148  222  296  444  592  888  1184  1369  1776  2738  3552  4107  5476  8214  10952  16428  21904  32856  43808  65712  131424 
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 131424 and 100000 that gives us a GCF value of: 32

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.

131424/100000

  =  

131424 ÷ 32/100000 ÷ 32

  =  

4107/3125

Good work! We have just walked through the steps on how to represent 1.31424 as a fraction.