Which is greater in each of the following?
(i) $\frac{2}{3}, \frac{5}{2}$ (ii) $\frac{- 5}{6}, \frac{- 4}{3}$ (iii) $\frac{- 3}{4}, \frac{2}{- 3}$
(iv) $\frac{- 1}{4}, \frac{1}{4}$ (v) $- 3 \frac{2}{7}, - 3 \frac{4}{5}$

Solution

(i) $\frac{2}{3}, \frac{5}{2}$

By converting these into like fractions,

$\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \frac{5}{2} = \frac{5 \times 3}{2 \times 3} = \frac{15}{6}$

As 15 > 4, therefore, $\frac{5}{2}$ is greater.

(ii) $\frac{- 5}{6}, \frac{- 4}{3}$

$\frac{- 4}{3} = \frac{- 4 \times 2}{3 \times 2} = \frac{- 8}{6} As - 5 > - 8, therefore, \frac{- 5}{6} is greater .$

(iii)

$\frac{- 3}{4}, \frac{2}{- 3} O r, \frac{- 3}{4}, \frac{- 2}{3}$

By converting these into like fractions,

$\frac{- 3}{4} = \frac{- 3 \times 3}{4 \times 3} = \frac{- 9}{12} \frac{- 2}{3} = \frac{- 2 \times 4}{3 \times 4} = \frac{- 8}{12} As - 8 > - 9, therefore, \frac{- 2}{3} is greater .$

(iv) $\frac{- 1}{4}, \frac{1}{4}$

$\frac{1}{4} > \frac{- 1}{4}$

(v) $- 3 \frac{2}{7}, - 3 \frac{4}{5}$

$\frac{- 23}{7}, \frac{- 19}{5}$

By converting these into like fractions,

$\frac{- 23}{7} = \frac{- 23 \times 5}{7 \times 5} = \frac{- 115}{35} \frac{- 19}{5} = \frac{- 19 \times 7}{5 \times 7} = \frac{- 133}{35} As - 115 > - 133, therefore, - 3 \frac{2}{7} is greater .$

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Rational Numbers

Which is greater in each of the following?
(i) $\frac{2}{3}, \frac{5}{2}$ (ii) $\frac{- 5}{6}, \frac{- 4}{3}$ (iii) $\frac{- 3}{4}, \frac{2}{- 3}$
(iv) $\frac{- 1}{4}, \frac{1}{4}$ (v) $- 3 \frac{2}{7}, - 3 \frac{4}{5}$

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Rational Numbers

Which is greater in each of the following?(i) 23,52 (ii) -56,-43 (iii) -34,2-3(iv) -14,14 (v) -327,-345

Some More Questions From Rational Numbers Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Which is greater in each of the following?
(i) $\frac{2}{3}, \frac{5}{2}$ (ii) $\frac{- 5}{6}, \frac{- 4}{3}$ (iii) $\frac{- 3}{4}, \frac{2}{- 3}$
(iv) $\frac{- 1}{4}, \frac{1}{4}$ (v) $- 3 \frac{2}{7}, - 3 \frac{4}{5}$