What is 1.7424 as a fraction?

Answer: 1.7424 as a fraction equals 17424/10000 or 1089/625

Here is the solution for converting 1.7424 to a fraction:

Step 1:

First, we write 1.7424 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!

1.7424/1

  =  

1.7424 x 10000/1 x 10000

  =  

17424/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 17424 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 17424 are: 1  2  3  4  6  8  9  11  12  16  18  22  24  33  36  44  48  66  72  88  99  121  132  144  176  198  242  264  363  396  484  528  726  792  968  1089  1452  1584  1936  2178  2904  4356  5808  8712  17424 
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 17424 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.

17424/10000

  =  

17424 ÷ 16/10000 ÷ 16

  =  

1089/625

Good work! We have just walked through the steps on how to represent 1.7424 as a fraction.