Which of the following pairs represent the same rational number-i -7-21 and 3-9 ii -16-20 and 20-25 iii -2-3 and 2-3iv -3-5 and -12-20 v 8-5 and -24-15 vi 1-3 and -1-9vii -5-9 and 5-9

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Byju's Answer

Standard VII

Mathematics

Introduction: Rational Numbers

Which of the ...

Question

Which of the following pairs represent the same rational number?

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

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Solution

(i)

As, therefore, it does not represent same rational numbers.

(ii)

Therefore, it represents same rational numbers.

(iii)

Therefore, it represents same rational numbers.

(iv)

Therefore, it represents same rational numbers.

(v)

Therefore, it represents same rational numbers.

(vi)

As, therefore, it does not represent same rational numbers.

(vii)

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Similar questions

Q. Which of the following pairs represent the same natural numbers ?
(i)

- \frac{20}{25}

and

\frac{60}{75}

(ii)

\frac{- 4}{- 6}

and

\frac{2}{3}

(iii)

\frac{1}{3}

and

- \frac{1}{9}

(iv)

\frac{- 5}{- 9}

and

\frac{5}{- 9}

Find each of the following products :

(i) $\frac{3}{5} \times \frac{- 7}{8}$ (ii) $\frac{- 9}{2} \times \frac{5}{4}$ (iii) $\frac{- 6}{11} \times \frac{- 5}{3}$

(iv) $\frac{- 2}{3} \times \frac{6}{7}$ (v) $\frac{- 12}{5} \times \frac{10}{- 3}$ (vi) $\frac{25}{- 9} \times \frac{3}{- 10}$

(vii) $\frac{5}{- 18} \times \frac{- 9}{20}$ (viii) $\frac{- 13}{15} \times \frac{- 25}{26}$ (ix) $\frac{16}{- 21} \times \frac{14}{5}$

(x) $\frac{- 7}{6} \times 24$ (xi) $\frac{7}{24} \times (- 48)$ (xii) $\frac{- 13}{5} \times (- 10)$

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Add the following rational numbers:
(i) $\frac{3}{4}$ and $\frac{- 3}{5}$
(ii) $\frac{5}{8}$ and $\frac{- 7}{12}$
(iii) $\frac{- 8}{9}$ and $\frac{11}{6}$
(iv) $\frac{- 5}{16}$ and $\frac{7}{24}$
(v) $\frac{7}{- 18}$ and $\frac{8}{27}$
(vi) $\frac{1}{- 12}$ and $\frac{2}{- 15}$
(vii) $- 1$ and $\frac{3}{4}$
(viii) $2$ and $\frac{- 5}{4}$
(ix) $0$ and $\frac{- 2}{5}$

Q. Which ratio is larger in the following pairs?
(i) 3 : 4 or 9 : 16
(ii) 15 : 16 or 24 : 25
(iii) 4 : 7 or 5 : 8
(iv) 9 : 20 or 8 : 13
(v) 1 : 2 or 13 : 27

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Which of the following pairs represent the same rational number? (i) (ii) (iii) (iv) (v) (vi) (vii)

Which of the following pairs represent the same rational number?

(i) (ii) (iii)

(iv) (v) (vi)

(vii)