What is 1.14072 as a fraction?

Answer: 1.14072 as a fraction equals 114072/100000 or 14259/12500

Here is the solution for converting 1.14072 to a fraction:

Step 1:

First, we write 1.14072 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!

1.14072/1

  =  

1.14072 x 100000/1 x 100000

  =  

114072/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 114072 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 114072 are: 1  2  3  4  6  7  8  12  14  21  24  28  42  49  56  84  97  98  147  168  194  196  291  294  388  392  582  588  679  776  1164  1176  1358  2037  2328  2716  4074  4753  5432  8148  9506  14259  16296  19012  28518  38024  57036  114072 
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 114072 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.

114072/100000

  =  

114072 ÷ 8/100000 ÷ 8

  =  

14259/12500

Good work! We have just walked through the steps on how to represent 1.14072 as a fraction.