What is 1.7712 as a fraction?

Answer: 1.7712 as a fraction equals 17712/10000 or 1107/625

Here is the solution for converting 1.7712 to a fraction:

Step 1:

First, we write 1.7712 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!

1.7712/1

  =  

1.7712 x 10000/1 x 10000

  =  

17712/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 17712 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 17712 are: 1  2  3  4  6  8  9  12  16  18  24  27  36  41  48  54  72  82  108  123  144  164  216  246  328  369  432  492  656  738  984  1107  1476  1968  2214  2952  4428  5904  8856  17712 
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 17712 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.

17712/10000

  =  

17712 ÷ 16/10000 ÷ 16

  =  

1107/625

Good work! We have just walked through the steps on how to represent 1.7712 as a fraction.