Question

convert number 7.5 bar in PQ form​

Answer 1

Answer:

68/9

Step-by-step explanation:

Let x=7.555...

=> 10x=75.555...

=> 10x-x=75.555...-7.555...

=> 9x=68

=> x=68/9

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Answer 2

Answer:

68/9

Note:

• Rational number : The number which can be written in the form of p/q where p and q are integers but q≠0 is called rational number.

• Rational number are characterized as :

1). Terminating

2). Non-terminating but repeating

(or Non-terminating but recurring)

• Every terminated decimal Or Non-terminating but repeating decimal can be written in the form of p/q .

Solution:

Let us suppose ,

x = 7.555... -------(1)

Now,

Multiplying both sides of eq-(1) with 10 ,

We get ;

=> 10•x = 10•(7.555...)

=> 10x = 75.555... ------(2)

Now,

Subtracting eq-(1) from eq-(2) , we get ;

=> 10x - x = 75.555... – 7.555...

=> 9x = 68

=> x = 68/9

=> 7.555... = 68/9 { Since , x = 7.555... }

Hence

7.555... = 68/9