Find four rational numbers between 37 and 57 -

N = 4 n + 1 = 4 + 1 = 5 37=37 #215;55=1535 #160;57=57 #215;55=2535 Thus, rational numbers between nbsp;37 #160;and #160;57 are nbsp;1635,1735,1835 ...

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Standard IX

Mathematics

Rational Numbers

Find four rat...

Question

Find four rational numbers between $\frac{3}{7} and \frac{5}{7}$ .

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Solution

n = 4
n + 1 = 4 + 1 = 5
$\frac{3}{7} = \frac{3}{7} \times \frac{5}{5} = \frac{15}{35} \frac{5}{7} = \frac{5}{7} \times \frac{5}{5} = \frac{25}{35}$
Thus, rational numbers between $\frac{3}{7} and \frac{5}{7}$ are $\frac{16}{35}, \frac{17}{35}, \frac{18}{35}, \frac{19}{35}$ .

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Similar questions

Q. Find three different irrational numbers between the rational numbers

\frac{5}{7} and \frac{9}{11}

Q. Add the following rational numbers:
(i)

\frac{- 5}{7} and \frac{3}{7}

(ii)

\frac{- 15}{4} and \frac{7}{4}

(iii)

\frac{- 8}{11} and \frac{- 4}{11}

(iv)

\frac{6}{13} and \frac{- 9}{13}

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Find four rational numbers between 37 and 57.

n = 4 n + 1 = 4 + 1 = 5 37=37×55=1535 57=57×55=2535 Thus, rational numbers between 37 and 57 are 1635,1735,1835,1935.

Find four rational numbers between $\frac{3}{7} and \frac{5}{7}$ .

n = 4
n + 1 = 4 + 1 = 5
$\frac{3}{7} = \frac{3}{7} \times \frac{5}{5} = \frac{15}{35} \frac{5}{7} = \frac{5}{7} \times \frac{5}{5} = \frac{25}{35}$
Thus, rational numbers between $\frac{3}{7} and \frac{5}{7}$ are $\frac{16}{35}, \frac{17}{35}, \frac{18}{35}, \frac{19}{35}$ .