Arjun says: "There is no rational number between 5/8 and 6/8." Is he correct, and if not, give a quick reason.

Incorrect; e.g. 11/16 lies between them. 5/8 = 10/16 and 6/8 = 12/16, so 11/16 lies between them. Infinitely many rationals exist between any two distinct rationals.

Arjun says: "There is no rational number between $\frac{5}{8}$ and $\frac{6}{8}$ ."
Is he correct, and if not, give a quick reason.

Class 8Rational Numbers Between Two NumbersRational Numbers

AIncorrect; e.g. $\frac{11}{16}$ lies between them
BCorrect; consecutive eighths have nothing between
CIncorrect; only $\frac{5.5}{8}$ lies between, which is not rational
DCorrect; the gap is too small for a rational number

Step-by-Step Solution

\frac{5}{8} = \frac{10}{16}

and

\frac{6}{8} = \frac{12}{16}

, so

\frac{11}{16}

lies between them. Infinitely many rationals exist between any two distinct rationals.

Answer: A) Incorrect; e.g.

\frac{11}{16}

lies between them

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Arjun says: "There is no rational number between 85​ and 86​."Is he correct, and if not, give a quick reason.

Step-by-Step Solution

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More Class 8 Rational Numbers Between Two Numbers practice

Arjun says: "There is no rational number between $\frac{5}{8}$ and $\frac{6}{8}$ ."
Is he correct, and if not, give a quick reason.