Question

Identify the decimal form 0.37 into terminating and and non-terminating, recurring type.
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Answer 1

Answer:

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Rationalising

Given number. 0{37}0.

37

To find. Express 0.{37}0.

37

in the form \frac{p}{q}

q

p

where both pp and qq are integers with q\neq 0q



=0

Solution.

Let x=0.\overline{37}x=0.

37

\Rightarrow x=0.37373737...⇒x=0.37373737...

In order to get a whole number 3737 on the right hand side, we multiply 100100 to both sides:

\quad 100x=37.37373737...100x=37.37373737...

\therefore 100x-x=37.373737...-0.373737...∴100x−x=37.373737...−0.373737...

\Rightarrow 99x=37⇒99x=37

\Rightarrow x=\frac{37}{99}⇒x=

99

37

\therefore 0.\overline{37}=\frac{37}{99}∴0.

37

=

99

37

Step-by-step explanation:

Answer 2

0.37 = 0.3.7 very very easy