Question

every fraction is a rational number but every rational number need not be a fraction. why explain with giving one example?...​

Answer 1

$\huge\mathfrak\red{Answer :) }$

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$every \: fraction \: is \: a \: rational \: number \: but \: a \: \\ \\ \\ rational \: number \: need \: not \: be \: a \: fraction.$

$\color{Purple}{\large\underline{\underline\mathtt{Explanation:↓↓↓}}}$

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1. Let p/q be any fraction.
2. Then p and q are natural numbers.
3. Since every natural numbers is an integer,therefore,p and q are integers.
4. Thus,the fraction p/q is the quotient of two integers such that q≠0.
5. Hence, p/q is a rational number.
6. A number like 7/-8 is a rational number but it is not a fraction since its denominator -8 is not a natural number.

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$\huge\bold{\texttt { \red{FACT!} }}$

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Only natural numbers can be expressed as fraction.

No negative number can be inserted in fraction.

A fraction with negative integer is a rational number.

Hope it was helpful..

Thanks for asking...☺❤

Answer 2

Step-by-step explanation:

\huge\mathfrak\red{Answer :) }Answer:)

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\begin{gathered}every \: fraction \: is \: a \: rational \: number \: but \: a \: \\ \\ \\ rational \: number \: need \: not \: be \: a \: fraction.\end{gathered}

everyfractionisarationalnumberbuta

rationalnumberneednotbeafraction.

\color{Purple}{\large\underline{\underline\mathtt{Explanation:↓↓↓}}}

Explanation:↓↓↓

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Let p/q be any fraction.

Then p and q are natural numbers.

Since every natural numbers is an integer,therefore,p and q are integers.

Thus,the fraction p/q is the quotient of two integers such that q≠0.

Hence, p/q is a rational number.

A number like 7/-8 is a rational number but it is not a fraction since its denominator -8 is not a natural number.

⠀⠀⠀

\huge\bold{\texttt { \red{FACT!} }} FACT!

⠀⠀⠀⠀

Only natural numbers can be expressed as fraction.

No negative number can be inserted in fraction.

A fraction with negative integer is a rational number.

Hope it was helpful..

Thanks for asking...☺❤