Question

Find the ratio of the following:

(a) 36 minutes to 2 hours.
(b) 50 cm to 5 metres.
(c) 32 g to 3 kg
(d) 3 days to 1 years.

Answer 1

(a) Change both 36 minutes and 2 hours to the same unit.
Now, 36 minutes =36 minutes

2 hours =2$\times 60$ minutes =120 minutes

$\therefore$ Ratio of 36 minutes to 2 hours

$36:120=\frac{(36÷12)}{(120÷12)}=\frac{3}{10}=3:10$

(b) First convert both into numbers with the same unit.
50 cm =50 cm

5 metres =500 cm

Hence, ratio of 50 cm to 5 metes is

$=50:500=\frac{(50÷50)}{(500÷50)}=\frac{1}{10}=1:10$

(c) First convert both into numbers with the same unit.

32 g = 32 g
3kg = 3000 g
$Ratio=32:3000=\frac{(32÷8)}{(3000÷8)}=\frac{4}{375}=4:375$

(d) First, convert both into numbers with the same unit.
3 days =3 days
1 year =365 days
Ratio =3∶ 365