Question

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Find five rational numbers by Mean Method between
$\frac{2 }{4} \: and \: \frac{3}{5}$
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Answer 1

Answer:

Find five rational numbers between. (i) 2/3 and 4/5 (ii) -3/2 and 5/3 (iii) 1/4 and 1/2

# NCERT

5. Find five rational numbers between.

(i) \frac{2}{3} and \frac{4}{5} (ii) \frac{-3}{2} and \frac{5}{3} (iii) \frac{1}{4} and \frac{1}{2}

(i) For finding rational numbers between 2 numbers one method is to find means between the numbers repeatedly.

Another method is:- For \frac{2}{3} and \frac{4}{5}

\frac{2}{3} can be written as \frac{10}{15} \left ( \frac{2}{3}\times \frac{5}{5} = \frac{10}{15}\right )

and \frac{4}{5} can be written as \frac{12}{15} \left ( \frac{4}{5}\times \frac{3}{3} = \frac{12}{15}\right )

Thus numbers between \frac{10}{15} and \frac{12}{15} are the required numbers.

Now since we require 5 numbers in between, thus we multiply numerator and denomenator both by 4.

It becomes numbers between \frac{40}{60} and \frac{48}{60}.

Thus numbers are \frac{41}{60}, \frac{42}{60}, \frac{43}{60}, \frac{44}{60}, \frac{45}{60}.

Step-by-step explanation:

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