What is 1.30144 as a fraction?

Answer: 1.30144 as a fraction equals 130144/100000 or 4067/3125

Here is the solution for converting 1.30144 to a fraction:

Step 1:

First, we write 1.30144 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!

1.30144/1

  =  

1.30144 x 100000/1 x 100000

  =  

130144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 130144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 130144 are: 1  2  4  7  8  14  16  28  32  49  56  83  98  112  166  196  224  332  392  581  664  784  1162  1328  1568  2324  2656  4067  4648  8134  9296  16268  18592  32536  65072  130144 
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 130144 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.

130144/100000

  =  

130144 ÷ 32/100000 ÷ 32

  =  

4067/3125

Good work! We have just walked through the steps on how to represent 1.30144 as a fraction.