Answer:
:
Each part: 2 Marks
(i) Find the LCM of denominators, i.e. the LCM of 3, 2, 9 and 4 = 36.
Nowmake the denominatorscommon to theabove fraction.
So, $\frac{4\times 12}{3\times 12}$ = $\frac{48}{36}$ ;$\frac{3\times 18}{2\times 18}$ = $\frac{54}{36}$ ;$\frac{7\times 4}{9\times 4}$ = $\frac{28}{36}$ ;$\frac{5\times 9}{4\times 9}$ = $\frac{45}{36}$;
Now arrange the fractions according to their numerator, fraction having large magnitude of numerator will be of greater magnitude.
So, correct sequence is$\frac{28}{36}$,$\frac{45}{36}$,$\frac{48}{36}$,$\frac{54}{36}$.
$\Rightarrow \frac{7}{9}<\frac{5}{4}<\frac{4}{3}<\frac{3}{2}$
(ii) Find the LCM of denominators, i.e. the LCM of 5, 7, 2 and 20 = 140.
Nowmake the denominatorscommon to theabove fraction.
So, $\frac{8\times 28}{5\times 28}$ = $\frac{224}{140}$;
$\frac{12\times 20}{7\times 20}$ = $\frac{240}{140}$;
$\frac{9\times 70}{2\times 70}$ = $\frac{630}{140}$;
$\frac{23\times 7}{20\times 7}$ = $\frac{161}{140}$;
Now arrange the fractions according to their numerator, fraction having large magnitude of numerator will be of greater magnitude.
So, correct sequence is$\frac{161}{140}$,$\frac{224}{140}$,$\frac{240}{140}$,$\frac{630}{140}$.
$\Rightarrow \frac{23}{20}<\frac{8}{5}<\frac{12}{7}<\frac{9}{2}$