The rational number that lies between 37 and 23 is

The correct option is B 47 37×33 = 921, 23×77 = 1421 Rational numbers between #160; 37 amp; 23 are 1021,1121,1221,1321 ...

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Byju's Answer

Standard IX

Mathematics

Rational Numbers

The rational ...

Question

The rational number that lies between $\frac{3}{7}$ and $\frac{2}{3}$ is

\frac{2}{5}

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\frac{4}{7}

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\frac{3}{7}

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\frac{2}{3}

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Solution

The correct option is B $\frac{4}{7}$
$\frac{3}{7} \times \frac{3}{3} = \frac{9}{21},$

$\frac{2}{3} \times \frac{7}{7} = \frac{14}{21}$

Rational numbers between $\frac{3}{7}$ & $\frac{2}{3}$ are $\frac{10}{21}, \frac{11}{21}, \frac{12}{21}, \frac{13}{21}$

$\frac{12}{21} = \frac{4}{7}$

Hence, $\frac{4}{7}$ lies between $\frac{3}{7}$ and $\frac{2}{3}$ .

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Similar questions

Q. (a) Which of these is a rational number between 2 and 3:

\frac{18}{27}, \frac{7}{3}, \frac{10}{3}, \frac{5}{2}

(b) Find one rational number that lies between

\frac{7}{8}

and

\frac{1}{2}

. What is its reciprocal?

[3 MARKS]

Q. Show that

\frac{3}{7}

lies between

\frac{2}{5}

and

\frac{5}{7}

Question 6

Which of the following expressions show that rational numbers are associative under multiplication.
(a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$
(b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$
(c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$
(d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

Question 6

Q. Name the property of rational numbers illustrated by the given statement.

\frac{- 3}{2} \times \frac{5}{4} + \frac{- 3}{2} \times \frac{- 7}{6} = \frac{- 3}{2} \times (\frac{5}{4} + \frac{- 7}{6})

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The rational number that lies between 37 and 23 is

The correct option is B 4737×33=921,23×77=1421Rational numbers between 37 & 23 are 1021,1121,1221,13211221=47Hence, 47 lies between 37 and 23.

The rational number that lies between $\frac{3}{7}$ and $\frac{2}{3}$ is