Question

express 0.367575.... in p/q form
​

Answer 1

Answer:

p/q = 3639/9900

Step-by-step explanation:

Let a = 0.367575.... — (1)

Multiplying a by 100. We get,

a X 100 = 100x

0.367575... X 100 = 36.7575....

Therefore,

100a = 36.7575.... — (2)

Subtracting Equation (1) from Equation (2)

Equation (2) - Equation (1)

= 100a - a

= 99a

Similarly,

36.7575.... - 0.367575....

= 36.39

Therefore,

99a = 36.39

=> 99a = 3639/100

=> a = 3639/9900

p/q = 3639/9900

HOPE IT HELPS YOU.

THANKS !

^ _ ^

Answer 2

refers to the attachment