Math, asked by dannynight29, 4 months ago

0.225 expressed as a rational number is- ​

Answers

Answered by AnIntrovert
1

Given :-

0.225 expressed as a rational number is

Solution :-

0.225 in Rational no.

→ 225 / 1000

→ 9 / 40 Ans !

Thank You !!

What are Rational numbers ?

Numbers in the form of p / q , where a and b are integers and b ≠ 0 , are called rational numbers .

ex .

  • 5 / 8 , 6 / 11

_________________

Answered by itzmarshmallow1
8

Answer:

Given:

0.225 expressed as a rational number is-

to find:

0.225 as a rational number

Required answer :

in 0.225 , periodicity =2

so,multiply the decimal fraction by 100 and subtract the original number from the product.

Let 0.225=x

then ,x =0.2252525...

and 100x=22.525252...

subtracting x from 100x we get

100x=22.5252...

(-)x=0.2252...

99x=22.3

ஃ x=  \frac{22.3}{99}  =  \frac{223}{990}

hence,the answer is x=  \frac{22.3}{99}  =  \frac{223}{990}

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