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.

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Solution

(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

$∴$ Ratio of 36 minutes to 2 hours

$36 ∶ 120 = \frac{(36 \div 12)}{(120 \div 12)} = \frac{3}{10} = 3 ∶ 10$

(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

$= 50 ∶ 500 = \frac{(50 \div 50)}{(500 \div 50)} = \frac{1}{10} = 1 ∶ 10$

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

32 g = 32 g
3kg = 3000 g
$R a t i o = 32 ∶ 3000 = \frac{(32 \div 8)}{(3000 \div 8)} = \frac{4}{375} = 4 ∶ 375$

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

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Similar questions

Find the ratio of:

(a) $R s . 5$ to $50$ paise (b) $15$ kg to $210$ g

(a) R s 5

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(b) 15 k g

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(c) 9 m

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(d) 30

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Find the ratio of the following in the simplest form:
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(iv) $48$ minutes to $1$ hour

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(vii) $2$ dozen to $3$ scores

(viii) $3$ weeks to $3$ days

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(x) $3 m 5 c m$ to $35 c m$ .

Find the ratio of the following:

(a) 30 minutes to 1.5 hours (b) 40 cm to 1.5 m

Find the ratio of " $30 days$ to $36 hours$ ".

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