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# 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

**Solution:**

Ratio is defined as the comparison between two quantities of the same units that indicates how much of one quantity is present in the other quantity.

(a) 30 minutes to 1.5 hours

60 minutes = 1 hour

Hence, 30 minutes = 0.5 hour

Hence, 30 minutes to 1.5 hours = 0.5 / 1.5

Here, HCF of 0.5 and 1.5 is 0.5

= (0.5 ×1) / (0.5 × 3)

= 1 / 3

Therefore, the ratio of 30 minutes to 1.5 hours is 1 : 3.

(b) 40 cm to 1.5 m

100 cm = 1m

40 cm = 0.4 m,

Hence, 40 cm to 1.5 m = 0.4 / 1.5

= 4 / 15

Therefore, the ratio of 40 cm to 1.5 m is 4 : 15

(c) 55 paise to ₹ 1

₹1 = 100 paise

Hence, 55 paise to ₹ 1 = 55 / 100

Here, HCF of 55 and 100 is 5

= (5 × 11) / ( 5 × 20)

= 11 / 20

Therefore, the ratio of 55 paise to ₹ 1 is 11 : 20

(d) 500 mL to 2 litres

1000 ml = 1 l

500 ml = 0.5 l

Hence, 500 ml to 2 litres = 0.5 / 2

Here, HCF of 0.5 and 2 is 0.5

= (0.5 × 1) / ( 4 × 0.5)

= 1 / 4

Therefore, the ratio of 500 ml to 2 litres is 1 : 4

NCERT Solutions Class 6 Maths Chapter 12 Exercise 12.1 Question 7

## 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

**Summary:**

The ratio of the following: (a) 30 minutes to 1.5 hours is 1:3 (b) 40 cm to 1.5 m is 4:15 (c) 55 paise to ₹ 1 is 11:20 (d) 500 mL to 2 litres is 1:4

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