Find the ratio of the following:
(a) 66 km to 121 km
(b) 3 minutes to 45 minutes
(c) 1/2 hour to 45 minutes
(d) 1 cm to 10 mm
(e) 45 paise to Re1
(f) 100 ml to 2 litre
Answers
(a) 6:11
(b) 1:15
(c)2:3
(d)1:1
(e)9:20
(f) 1:20
Explanation:
(a)
66 km to 121 km
= 66:121
= 66/121
= 6/11 [ both the sides dividing by 11]
= 6:11
Hence, the ratio is 6:11
(b)
3 minutes to 45 minutes
= 3:45
= 3/45
= 1/15 [both the sides dividing by 3]
= 1:15
Hence, the ratio is 1:15
(c)
1 hour = 60 minutes
So, 1/2 hour = (60*1/2) minutes
= 30 minutes
30 minutes to 45 minutes
= 30:45
= 30/45
= 2/3 [both the sides dividing by 15.]
= 2:3
Hence, the ratio is 2:3.
(d)
We know that,
1 cm = 10 mm
Hence,
10 mm to 10 mm
= 10: 10
= 10/10
= 1/1 [both the sides dividing by 10.]
= 1:1
Hence, the ratio is 1:1.
(e)
We know that,
Rs 1 = 100 paise
Hence,
45 paise to 100 paise
= 45:100
= 45/100
= 9/20 [both the sides dividing by 5.]
= 9:20
Hence, the ratio is 9:20.
(f)
We know that,
1 litre = 1000 ml
∴ 2 litres = (2*1000) ml
= 2000 ml
Hence,
100 ml to 2000 ml
= 100:2000
= 100/2000
= 1/20 [both the sides dividing by 100.]
= 1:20
Hence, the ratio is 1:20.
* It should be noted that ratio has no unit.
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