3 Tutor System
Starting just at 265/hour

# 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) $$\frac{5}{7} \square \frac{15}{21}$$

(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,$$\frac{5}{7} = \frac{15}{21}$$