Question

Arrange the following rational number in increasing order $\frac{4}{3}$, $\frac{3}{2}$, $\frac{7}{9}$, $\frac{5}{4}$. [4 MARKS]

Answer 1

Process : 1 Mark
Calculation : 2 Marks
Result : 1 Mark

Find the LCM of denominators, i.e. the LCM of 3, 2, 9 and 4 = 36.

Now we are trying to make the common denominator of above 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 $\frac{28}{36}$, $\frac{45}{36}$, $\frac{48}{36}$, $\frac{54}{36}$.