• # question_answer Find the ratio of the following: (a) 30 minutes to $1.5$hours (b) 40 cm to $1.5\,m$ (c) 55 paise to Rs. 1 (d) 500 ml to 2 litres

 (a) 30 minutes to 1.5 hours = 30 min.: 90 min. {$\because$1 hour = 60 minutes, 1.5 hours $=1.5\times 60=90\text{ }min.$} $=30:90$ $=1:3$ (b) 40 cm to 1.5m $=40\text{ }cm.:1.5\times 100\text{ }cm.$ {$\because$$1\text{ }m=100\text{ }cm.,1.5\text{ }m=1.5\times 100\text{ }cm$} $=40\text{ }cm.:150\text{ }cm.$ $=40:150=\frac{40}{150}=\frac{4}{15}$ $=4:15$ (c) 55 paise to Rs. 1 = 55 paise : 100 paise {Rs. 1 = 100 paises} $=55:100=\frac{55}{100}=\frac{11}{20}$ $=11:20$ (d) 500 ml to 2 litre = 500 ml.: 2000 ml. {$\because$1 litre =1000 ml., $=500:2000=\frac{500}{2000}=\frac{1}{4}$ $\therefore$  {2 litre = 2000 ml.} $=1:4$