Question

Hi friends..... a small doubt every farction is a rational number, bit a rational number need not to be fraction... friends explain this sentence​

Answer 1

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FRACTION :

• Every fraction is a rational because every fraction can be written in the form
• Of p/q,where p=any integer and y should not be equal to 0.
• As every fraction can be written in the form of p/q ,it is a rational number.

FROM YOUR SIDE :

• Every fraction is a rational number but a rational number need not be a fraction.
• Let a/b be any fraction. Then, a and b are natural numbers. Since every natural number is an integer. Therefore, a and b are integers. Thus, the fraction a/b is the quotient of two integers such that b ≠ 0.
• Hence, a/b is a rational number.
• We know that 2/-3 is a rational number but it is not a fraction because its denominator is not a natural number.
• Since every mixed fraction consisting of an integer part and a fractional part can be expressed as an improper fraction, which is quotient of two integers.
• Thus, every mixed fraction is also a rational number.
• Hence, every fraction is also a rational number.

• MARK AS BRAINLIST

Answer 2

Yes,

every fraction is a rational number but rational

number need not to be a fraction

Example: 2/3 is a fraction and rational number

but 5/ -6 is rational number but it is

not a fraction because -6 is a negative

number and not a natural number

HOPE IT HELPS YOU ✌✌