Question

when the repeating decimal 0.363636.......is written simplest fractional for m p/q find the sum p+q​

Answer 1

Answer:

let x=o.36bar

100x=36.36bar

99x=36

x=12/33

Here p is 12 and q is 33

Therefore p+q is 45

Answer 2

Answer:

15

Step-by-step explanation:

To convert recurring decimals into rational numbers i.e, p/q form,there is a little trick

1. o.363636... can also be written as o.36 bar(..bar on 3 and 6 )
2. Now to convert this into p/q form, we just need to divide 36 with 99(two nines bcz there is bar on two numbers)
3. so, 0.36 bar = 36/99 = 4/11
4. in the above form, p = 4 and q = 11
5. p+q = 4 + 11 = 15
6. Final Answer = 15