# Find the ratio of the following:

(a) 81 to 108

(b) 98 to 63

(c) 33 km to 121 km

(d) 30 minutes to 45 minutes

**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) 81 to 108

HCF of 81 and 108 is 27.

So,

81 / 108 = (27×3) / (27×4)

= 3 /4

Therefore, the ratio of 81 to 108 is 3 : 4

(b) 98 to 63

HCF of 98 and 63 is 7.

So,

98 / 63 = (14 × 7) / ( 9 × 7)

= 14 / 9

Therefore, the ratio of 98 to 63 is 14 : 9

(c) 33 km to 121 km

HCF of 33 and 121 is 11.

So,

33 / 121 = (11 × 3) / (11 × 11)

= 3 / 11

Therefore, the ratio of 33 km to 121 km is 3 : 11

(d) 30 minutes to 45 minutes

HCF of 30 and 45 is 15,

So,

30 / 45 = (15 × 2) / (15×3)

= 2 / 3

Therefore, the ratio of 30 minutes to 45 minutes is 2 : 3

NCERT Solutions for Class 6 Maths Chapter 12 Exercise 12.1 Question 6

## Find the ratio of the following: (a) 81 to 108 (b) 98 to 63 (c) 33 km to 121 km (d) 30 minutes to 45 minutes.

**Summary:**

The ratio of the following: (a) 81 to 108 is 3:4 (b) 98 to 63 is 14:9 (c) 33 km to 121 km is 3:11 (d) 30 minutes to 45 minutes is 2:3

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