Home
Class 9
MATHS
Show that 0. 3333. . . .=0. bar3can be e...

Show that `0. 3333. . . .=0. bar3`can be expressed in the form `p/q`, where p and q are integers and `q!=0`.

Text Solution

Verified by Experts

let `x=0.bar 3`
multiplying it by 10 both sides
`10x= 3.3333......`
`3.3333..... = 3 + 0.333333.......`
`10x= 3 +x`
`9x = 3`
`x=1/3`
answer
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Express 0.6 in the form p/q where p and q are integers and q!=0

Show that 0.2353535...=0.2bar(35) can be expressed in the form (p)/(q) where p and q are integers and q!=0

Express 0.357 in the form (p)/(q), where p and q are integers and q!=0

Show that 1.272727...=1.bar(27) can be expressed in the form (p)/(q) ,where p and q are integers and q!=0

Express 3.bar(2) in the form (p)/(q) where p and q are integers and q!=0

Express 0.3178 is the form of p/q where p and q are integers

Show that 0.23535335=0.235 can be expressed in the form (p)/(q), where p and q integers and q!=0

Express 0.99999... in the form (p)/(q), where p and q are integers and q!=0

Express the following in the form p/q where p and q are integers and q!=00.47

Express 0.2bar(35) in the form p/q where p and q are integers and q ne 0 .