Question

Represent 0.627 (27 in bar)in p/q form

Answer 1

Answer:

0.627(27 in bar) written in the form of p/q

Step-by-step explanation:

so,

x=0.627272727.......- eq 1.

multiply both side by hundred between bar is over two digits

x*100= 0.6272727....*100

100x= 62.7272727.....- eq 2.

Subtract eq 1 from eq 2

So,

100x-x= 62.7272727. . . . .- 0.627272727.....

99x= 62.1

x= 62.1/99

x=621/990 (by removing decimal)

Hence 621/990 is the answer

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Answer 2

Concept

A repeating decimal is one in which a single or a group of digits gets repeated infinite number of times. The repeating digits are represented by putting a bar above them.

Given

0.627 (27 in bar)

Find

we need to represent the given number in p/q form

Solution

We have

0.627 (27 in bar)

Let x =  0.627 (27 in bar)

multiplying both sides by 1000

1000x = 627.27bar

and multiplying both sides by 10,

10x = 6.27bar

Subtracting 10x from 1000x, we get

1000x - 10x =  627.27bar - 6.27bar

990x = 621

x = 621/990

or x = 69/110

Thus, 0.627 can be represented as 69/110 in p/q form.

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