Question

compare the following fraction
(a) 3/5 and 4/3
(b) 6/7 and 7/6
( c) 21/5 and 18/4
(d) 7/15 and 9/20 ​

Answer 1

Answer:

1)

$\frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15}$

$\frac{4}{3} = \frac{4 \times 5}{3 \times 5} = \frac{20}{15}$

hence,

$\frac{9}{15} < \frac{20}{15}$

2)

$\frac{6}{7} = \frac{6 \times 6}{7 \times 6} = \frac{36}{42}$

$\frac{7}{6} = \frac{7 \times 7}{6 \times 7} = \frac{49}{42}$

hence,

$\frac{36}{42} < \frac{49}{42}$

3)

$\frac{21}{5} = \frac{21 \times 4}{5 \times 4} = \frac{84}{20}$

$\frac{18}{4} = \frac{18 \times 5}{4 \times 5} = \frac{90}{20}$

hence,

$\frac{84}{20} < \frac{90}{20}$

4)

$\frac{7}{15} = \frac{7 \times 4}{15 \times 4} = \frac{28}{60}$

$\frac{9}{20} = \frac{9 \times 3}{20 \times 3} = \frac{27}{60}$

hence,

$\frac{28}{60} > \frac{27}{60}$

hope it helps :)