Which of the two rational numbers in each of the following pairs of rational numbers is smaller?
(i) $\frac{- 6}{- 13}, \frac{7}{13}$
(ii) $\frac{16}{- 5}, 3$
(iii) $\frac{- 4}{3}, \frac{8}{- 7}$
(iv) $\frac{- 12}{5}, - 3$

Open in App

Solution

(i) $\frac{- 6}{- 13} = \frac{6}{13} < \frac{7}{13}$
(ii) $\frac{16}{- 5} < 3$
(iii)
$\frac{- 4}{3} = \frac{- 4 \times 7}{3 \times 7} = \frac{- 28}{21} and \frac{8}{- 7} = \frac{- 8 \times 3}{7 \times 3} = \frac{- 24}{21} Therefore, \frac{- 4}{3} < \frac{8}{- 7}$
(iv)
$\frac{- 12}{5} and - 3 = \frac{- 3 \times 5}{1 \times 5} = \frac{- 15}{5} Therefore \frac{- 12}{5} > - 3$

Suggest Corrections

Similar questions

\frac{- 3}{8}, 0

\frac{5}{2}, 0

\frac{- 4}{11}, \frac{3}{11}

\frac{- 7}{12}, \frac{5}{- 8}

\frac{4}{- 9}, \frac{- 3}{- 7}

\frac{- 5}{8}, \frac{3}{- 4}

\frac{5}{9}, \frac{- 3}{- 8}

\frac{5}{- 8}, \frac{- 7}{12}

\frac{5}{9} or \frac{- 3}{- 8}

\frac{4}{- 3} or \frac{- 8}{7}

\frac{- 12}{5} or - 3

\frac{7}{- 9} or \frac{- 5}{8}

\frac{4}{- 5} or \frac{- 7}{8}

\frac{9}{- 13} or \frac{7}{- 12}

Question 6 (ii)

Which of the following pairs represent the same rational numbers:
$\frac{- 16}{20} a n d \frac{20}{- 25}$

Question 6 (iii)

Which of the following pairs represent the same rational numbers:
$\frac{- 2}{- 3} a n d \frac{2}{3}$

Question 6 (vi)

Which of the following pairs represent the same rational numbers:
$\frac{1}{3} a n d \frac{- 1}{9}$

Join BYJU'S Learning Program