Question

represent o.4+(0.4 bar on 4 ) in p/q form

Answer 1

We will just convert 0.4 bar into the form of p/q as follows.

Hope it Helps

Answer 2

Answer:

38/45

Step-by-step explanation:

As we know that a number under bar is considered to be repeating infinite times. So, to add 0.4 and 0.44..

We have to first convert the second term of the expression into a rational number or in a p/q form.

Now, converting 0.4 into p/q

So, for that we have to form some equations.

Our EQ-I is:

x = 0.44..

For EQ-II, we'll multiply EQ-I to 10.

We got:

10x = 4.44.. --- EQ-II

As we can see in the EQ-I And EQ-II that both of them are like terms.

So they can be subtracted easily.

● Now, subtracting EQ-I from EQ-II

10x - x = 4.44..-0.44..

9x = 4 [numbers which were under the bar canceled out]

x = 4/9

● Now, coming on the main question -

Addition of 0.4 and 4/9

= 0.4 + 4/9 or 4/10 + 4/9

= 36+40/90

76/90 or 38/45