What is 0.69216 as a fraction?

Answer: 0.69216 as a fraction equals 69216/100000 or 2163/3125

Here is the solution for converting 0.69216 to a fraction:

Step 1:

First, we write 0.69216 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!

0.69216/1

  =  

0.69216 x 100000/1 x 100000

  =  

69216/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 69216 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 69216 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  56  84  96  103  112  168  206  224  309  336  412  618  672  721  824  1236  1442  1648  2163  2472  2884  3296  4326  4944  5768  8652  9888  11536  17304  23072  34608  69216 
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 69216 and 100000 that gives us a GCF value of: 32

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.

69216/100000

  =  

69216 ÷ 32/100000 ÷ 32

  =  

2163/3125

Good work! We have just walked through the steps on how to represent 0.69216 as a fraction.