Question

Arrange the following ratios in descending order of magnitude: 

(5 : 6), (8 : 9), (13 : 18) and (19 : 24)

Answer 1

L.C.M. of denominators 6, 9, 18 and 24 is 72.

$$\frac{5}{6} = \frac{60}{72}$$

$$\frac{8}{9} = \frac{64}{72}$$

$$\frac{13}{18} = \frac{52}{72}$$

$$\frac{19}{24} = \frac{57}{72}$$

Comparing numerators in descending order: $$64 > 60 > 57 > 52$$.

Descending order: $$(8 : 9), (5 : 6), (19 : 24), (13 : 18)$$.