Question

express each of following decimal in p/q form in 3.8 bar

Answer 1

let x=3.88888888........
multiply both sides by 10
10×x=10(3.88888888..)
10x=38.888888888..
subtract
10x-x=38.888888888-3.8888888888
9x=35.0000000
x=35÷9 answer...

Answer 2

Answer:

3.8(bar) can be written in p / q form as 35 / 9.

Step-by-step explanation:

We have to express 3.8(bar) in p / q form.

We know that 3.8(bar) is a non terminating repeating rational number.

For this we will first:

Let x = 3.8(bar)   ...(1)

Multiply both the sides by 10, we get that:

x × 10 = 3.8(bar) × 10

which is equal to:

10x = 38.8(bar)   ...(2)

Subtract (1) from (2), we get that:

10 x - x = 38.8(bar) - 3.8(bar)

9 x = 35

x =35 / 9

Therefore, 3.8(bar) can be written in p / q form as 35 / 9.

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