Question

5/7,6/7,7/7 are equivalent rational numbers.Find whether the given statement are true or false.

Answer 1

Hi ,

It is False .

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Equivalent Rational Numbers :

Equivalent Rational Numbers are

those which have same value but

are represented in different way.

p/q = kp/kq

example :

5/3 = 10/6 = 15/9

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Now ,
Given Rational Numbers are

5/7 , 6/7 , 7/7

But 5/7 ≠ 6/7 ≠ 7/7

Therefore ,

5/7 , 6/7 , 7/7 are not equivalent

Rational numbers .

I hope this helps you.

: )

Answer 2

Equilavalent rational numbers are the numbers on which the simplified form of the number is same as the other on simplifying.



Given fractions : 5 / 7 , 6 / 7 and 7 / 7


As all of the given fractions are in their simplified form. If p/q in simplified form of all the fraction is equal, fractions will be equivalent fractions.


On comparing all the fractions, we get the in all the fractions denominator is same but numerator is different. Therefore, given fractions are not equilavalent fractions.


Hence, given statement is false.

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