What is 1.14264 as a fraction?

Answer: 1.14264 as a fraction equals 114264/100000 or 14283/12500

Here is the solution for converting 1.14264 to a fraction:

Step 1:

First, we write 1.14264 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!

1.14264/1

  =  

1.14264 x 100000/1 x 100000

  =  

114264/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 114264 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 114264 are: 1  2  3  4  6  8  9  12  18  23  24  27  36  46  54  69  72  92  108  138  184  207  216  276  414  529  552  621  828  1058  1242  1587  1656  2116  2484  3174  4232  4761  4968  6348  9522  12696  14283  19044  28566  38088  57132  114264 
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 114264 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.

114264/100000

  =  

114264 ÷ 8/100000 ÷ 8

  =  

14283/12500

Good work! We have just walked through the steps on how to represent 1.14264 as a fraction.