Q.5 How quickly can you do this? Fill appropriate sign. ( ‘<’, ‘=’, ‘>’)
(a) \(\frac{1}{2} \square \frac{1}{5} \)
(b) \(\frac{2}{4} \square \frac{3}{6} \)
(c) \(\frac{3}{5} \square \frac{2}{3} \)
(d) \(\frac{3}{4} \square \frac{2}{8} \)
(e) \(\frac{3}{5} \square \frac{5}{5} \)
(f) \(\frac{7}{9} \square \frac{3}{9} \)
(g) \(\frac{1}{4} \square \frac{2}{8} \)
(h) \(\frac{6}{10} \square \frac{4}{5} \)
(i) \(\frac{3}{4} \square \frac{7}{8} \)
(j) \(\frac{6}{10} \square \frac{3}{5} \)
(k) \(\frac{5}{7} \square \frac{15}{21} \)


Answer :

(a) \(\frac{1}{2} \square \frac{1}{5} \)
\(\frac{1}{2} and \frac{1}{5} \)
5 × 1 \(\square \) 2 × 1
5 > 2
Hence, \(\frac{1}{2} > \frac{1}{5} \)
(b) \(\frac{2}{4} \square \frac{3}{6} \)
\(\frac{2}{4} and \frac{3}{6} \)
6 × 2 \(\square \) 4 × 3
12 = 12
Hence, \(\frac{2}{4} = \frac{3}{6} \)
(c) \(\frac{3}{5} \square \frac{2}{3} \)
\(\frac{3}{5} and \frac{2}{3} \)
3 × 3 \(\square \) 5 × 2
9 < 10
Hence,\(\frac{3}{5} < \frac{2}{3} \)
(d) \(\frac{3}{4} \square \frac{2}{8} \)
\(\frac{3}{4} and \frac{2}{8} \)
3 × 8 \(\square \) 4 × 2
24 < 8
Hence,\(\frac{3}{4} > \frac{2}{8} \)
(e) \(\frac{3}{5} \square \frac{5}{5} \)
\(\frac{3}{5} and \frac{5}{5} \)
3 × 5 \(\square \) 5 × 5
15 < 25
Hence,\(\frac{3}{5} < \frac{5}{5} \)
(f) \(\frac{7}{9} \square \frac{3}{9} \)
\(\frac{7}{9} and \frac{3}{9} \)
9 × 7 \(\square \) 9 × 3
63 > 27
Hence,\(\frac{7}{9} > \frac{3}{9} \)
(g) \(\frac{1}{4} \square \frac{2}{8} \)
\(\frac{1}{4} and \frac{2}{8} \)
1 × 8 \(\square \) 4 × 2
8 = 8
Hence,\(\frac{1}{4} = \frac{2}{8} \)
(h) \(\frac{6}{10} \square \frac{4}{5} \)
\(\frac{6}{10} and \frac{4}{5} \)
5 × 6 \(\square \) 10 × 4
30 < 40
Hence,\(\frac{6}{10} < \frac{4}{5} \)
(i) \(\frac{3}{4} \square \frac{7}{8} \)
\(\frac{3}{4} and \frac{7}{8} \)
3 × 8 \(\square \) 4 × 7
24 < 28
Hence,\(\frac{3}{4} < \frac{7}{8} \)
(j) \(\frac{6}{10} \square \frac{3}{5} \)
\(\frac{6}{10} and \frac{3}{5} \)
5 × 6 \(\square \) 10 × 3
30 = 30
Hence,\(\frac{6}{10} = \frac{3}{5} \)
(k) \(\frac{5}{7} \square \frac{15}{21} \)
\(\frac{5}{7} and \frac{15}{21} \)
5 × 21 \(\square \) 7 × 15
105 = 105
Hence,\(\frac{5}{7} = \frac{15}{21} \)

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