What is 1.69164 as a fraction?

Answer: 1.69164 as a fraction equals 169164/100000 or 42291/25000

Here is the solution for converting 1.69164 to a fraction:

Step 1:

First, we write 1.69164 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!

1.69164/1

  =  

1.69164 x 100000/1 x 100000

  =  

169164/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 169164 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 169164 are: 1  2  3  4  6  9  12  18  36  37  74  111  127  148  222  254  333  381  444  508  666  762  1143  1332  1524  2286  4572  4699  9398  14097  18796  28194  42291  56388  84582  169164 
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 169164 and 100000 that gives us a GCF value of: 4

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.

169164/100000

  =  

169164 ÷ 4/100000 ÷ 4

  =  

42291/25000

Good work! We have just walked through the steps on how to represent 1.69164 as a fraction.