What is 1.1424 as a fraction?

Answer: 1.1424 as a fraction equals 11424/10000 or 714/625

Here is the solution for converting 1.1424 to a fraction:

Step 1:

First, we write 1.1424 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!

1.1424/1

  =  

1.1424 x 10000/1 x 10000

  =  

11424/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 11424 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 11424 are: 1  2  3  4  6  7  8  12  14  16  17  21  24  28  32  34  42  48  51  56  68  84  96  102  112  119  136  168  204  224  238  272  336  357  408  476  544  672  714  816  952  1428  1632  1904  2856  3808  5712  11424 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 11424 and 10000 that gives us a GCF value of: 16

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.

11424/10000

  =  

11424 ÷ 16/10000 ÷ 16

  =  

714/625

Good work! We have just walked through the steps on how to represent 1.1424 as a fraction.