Question

Convert the following decimal 0.26bar in p/q where p and q are integers and q is not equal to 0

Answer 1

I would help you but I will first need to know that bar is in only on 6 or both 2 and 6

Answer 2

Answer:

Step-by-step explanation:

In this question, it is not specified if the bar is over one decimal or both. Therefore, let's find the answer in both cases.

Case 1:

Consider the bar is over 6 in 0.26. (0.2^_6 means that the bar is over 6.)

Let us take x = 0.2^_6

We need to bring 2 from the decimal side to the whole number side to proceed. So we multiply x with 10.

10x = 2.^_6                     (i)

100x = 26.^_6                (ii)

Subtracting (i) from (ii),

100x - 10x = 26.^_6 - 2.^_6

= 90x = 24

and thus x = 24/90.

Case 2:

Consider the bar is over both the decimals, i.e., 0.^_26

Again, let us take x = 0.^_26        (i)

Since in this case, two numbers are on the decimal side, we multiply x with 100.

100x = 26.^_26                             (ii)

Subtracting (i) from (ii),

100x - x = 26.^_26 - 0.^_26

=99x = 26

and thus, x = 26/99

Hope this helped you :)