Question

express 0.6 in the form, where p and q are integers and q=0.​

Answer 1

Given : 0.6

To Find : express 0.6 in the p/q  form, where p and q are integers and q≠0

Solution:

N = 0.6

=> N = 6/10

=> N = 3/5

0.6 = 3/5

if N = 0.6 bar  = $0.\overline{6}$

=> 10N = $6.\overline{6}$

=> 9N = 6

=> N = 6/9

=> N = 2/3

$0.\overline{6}$ = 2/3

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Answer 2

SOLUTION

TO DETERMINE

To express 0.6 in the form,

$\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

CONCEPT TO BE IMPLEMENTED

RATIONAL NUMBER

A Rational number is defined as a number of the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

EXAMPLE

$\displaystyle \sf{2,- 1, \frac{1}{3} , - \frac{12}{23}} \: are \: the \: examples \: of \: rational \: numbers$

EVALUATION

Here the given number is 0.6

Which can be rewritten as below

$0.6$

$\displaystyle \sf{ = \frac{6}{10} }$

$\displaystyle \sf{ = \frac{3}{5} }$

Which are of the form

$\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

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