Question

the repeating decimal 0.6888... is equal to the fraction k/25
What is the value of k?

Answer 1

Answer:

k=172.2

Step-by-step explanation

When you search up (0.6888) into a fraction calculator you get (861/1250),

which clearly needs to be simplified. Easy find the LCD. We already know that 1250 needs to be 25. So, divide (1250/25=50)

So know we know that the LCD is 50. Now we need to divide 861 by the LCD.  (861/50=172.2)

k=172.2