Question

express 4.7bar in p/q form and find the value of p-q/p+q​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Given:

Consider the given number is x = 4.7 bar

x = 4.7777...

Find:

We have to find the ratinal form of x and if p/q is the form then also calculate p-q/p+q

Solution:

We have given that x = 4.7777...      (1)

Multiplying by 10 into both sides we get

10x = 47.7777...                         (2)

Subtract equation (1) from (2) we get

10x -x = 47.7777.... - 4.7777...

9x = 43

x = 43/9

Now we have p = 43 and q = 9

Therefore

p-q/p+q = 43-9/43+9

p-q/p+q = 34/52

p-q/p+q = 17/26