Question

express 0.45 in the form. p/q where p and q are integers and q=0​

Answer 1

SOLUTION

TO EXPRESS

0.45 in the form $\displaystyle \sf{ \frac{p}{q} }$

where p and q are integers and $q \ne \: 0$

CONCEPT TO BE IMPLEMENTED

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

2,3, - 1, $\displaystyle \sf{ \frac{5}{11} \: }$

are the examples of rational numbers

EVALUATION

Here the given number is 0.45

Now we simplify it

$\sf{0.45 \: }$

$\displaystyle \sf{ = \frac{45}{100} \: }$

Dividing numerator and denominator both by 5 we get

$\displaystyle \sf{ = \frac{9}{20} \: }$

Now There is no common factor between 9 and 20

Hence the required answer is

$\displaystyle \sf{ 0.45= \frac{9}{20} \: }$

Which is of the form $\displaystyle \sf{ \frac{p}{q} }$

where p and q are integers and $q \ne \: 0$

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