Question

Express the decimal in the form p/q where p are integer and q is not equal to 0
Question -0.3178 178 is under the bar

Answer 1

Solution:

Let x = 0.3178178....(1)

multiply (1) by 10 , we get

=> 10x = 3.178178...(2)

multiply (2) by 1000 we get

=> 10000x = 3178.178178..-(3)

subtract (2) from (3) , we get

=> 9990x = 3175

=> x = 3175/9990

=> x = 635/1998 [p/q form]

Therefore,

x = 0.3178178.... = 635/1998

••••