Question

Express  0.5727272 …….. in p/q form where q ≠ 0​

Answer 1

Answer:

hsjsbskvdkbdvdjdjhegidhdi

Answer 2

Step-by-step explanation:

A = 0.572727272....

A = 5/10 + 72/1000 + 72/100000 +...

Taking 72/1000 common

A = 5/10 + 72/1000( 1 + 1/100 + 1/10000 +...)

We know that sum of infinite GP = a/(1 - r)

Therefore, A = 5/10 + 72/1000 ( 1/(1-(1/100)))

On solving further we get A = 5/10 + 72/1000 *(100/99)

A = 63/110,, This is the required rational form.