Question

Find the ratio of the following:
(a) 30 minutes to 1.5 hours
(b) 40 cm to 1.5 m
(c) 55 paise to ₹1
(d) 500 mL to 2 litres

Answer 1

(a) 30 minutes to 1.5 hour
1.5 hours = 1.5 x 60 = 90 minutes [∵ 1 hour = 60 minutes]
Now, ratio of 30 minutes to 1.5 hour = 30 minutes: 1.5 hour
\(⇒ \)30 minutes: 90 minutes =\(\frac{ 30}{90}\)
\(= \frac{1}{3}\)
\(= 1:3\)

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(b) 40 cm to 1.5 m
1.5 m = 1.5 x 100 cm = 150 cm [∵ 1 m = 100 cm]
Now, ratio of 40 cm to 1.5 m = 40 cm: 1.5 m
\(⇒ 40\) cm: 150 cm
\(= \frac{40}{150}\)

\(= \frac{4}{15}\)
\(= 4:15\)

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(c) 55 paise to Re. 1
Re. 1 = 100 paise
Now, ratio of 55 paise to Re. 1 = 55 paise: 100 paise
\(⇒ \frac{55}{100}\)

\(= \frac{11}{20}\)
\(= 11:20\)

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(d) 500 ml to 2 liters
2 liters = 2 x 1000 ml = 2000 ml [∵ 1 litre = 1000 ml]
Now, ratio of 500 ml to 2 liters = 500 ml: 2 liters
\(⇒ \)500 ml: 2000 ml = \(\frac{500}{2000}\)
\(= \frac{1}{4}\)
\(= 1:4\)