What is 0.69825 as a fraction?

Answer: 0.69825 as a fraction equals 69825/100000 or 2793/4000

Here is the solution for converting 0.69825 to a fraction:

Step 1:

First, we write 0.69825 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!

0.69825/1

  =  

0.69825 x 100000/1 x 100000

  =  

69825/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 69825 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 69825 are: 1  3  5  7  15  19  21  25  35  49  57  75  95  105  133  147  175  245  285  399  475  525  665  735  931  1225  1425  1995  2793  3325  3675  4655  9975  13965  23275  69825 
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 69825 and 100000 that gives us a GCF value of: 25

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.

69825/100000

  =  

69825 ÷ 25/100000 ÷ 25

  =  

2793/4000

Good work! We have just walked through the steps on how to represent 0.69825 as a fraction.