What is 1.14144 as a fraction?

Answer: 1.14144 as a fraction equals 114144/100000 or 3567/3125

Here is the solution for converting 1.14144 to a fraction:

Step 1:

First, we write 1.14144 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!

1.14144/1

  =  

1.14144 x 100000/1 x 100000

  =  

114144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 114144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 114144 are: 1  2  3  4  6  8  12  16  24  29  32  41  48  58  82  87  96  116  123  164  174  232  246  328  348  464  492  656  696  928  984  1189  1312  1392  1968  2378  2784  3567  3936  4756  7134  9512  14268  19024  28536  38048  57072  114144 
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 114144 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.

114144/100000

  =  

114144 ÷ 32/100000 ÷ 32

  =  

3567/3125

Good work! We have just walked through the steps on how to represent 1.14144 as a fraction.